72996480
72,996,480 is an even composite number composed of six prime numbers multiplied together.
72996480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 72996480:
27 × 32 × 5 × 19 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 23 × 29)See below for interesting mathematical facts about the number 72996480 from the Numbermatics database.
Names of 72996480
- Cardinal: 72996480 can be written as Seventy-two million, nine hundred ninety-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 7.299648 × 107
Factors of 72996480
Divisors of 72996480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 29 30 32 36 38 40 45 46 48 57 58 60 64 69 72 76 80 87 90 92 95 96 114 115 116 120 128 138 144 145 152 160 171 174 180 184 190 192 207 228 230 232 240 261 276 285 288 290 304 320 342 345 348 360 368 380 384 414 435 437 456 460 464 480 522 551 552 570 576 580 608 640 667 684 690 696 720 736 760 828 855 870 874 912 920 928 960 1035 1044 1102 1104 1140 1152 1160 1216 1305 1311 1334 1368 1380 1392 1440 1472 1520 1653 1656 1710 1740 1748 1824 1840 1856 1920 2001 2070 2088 2185 2204 2208 2280 2320 2432 2610 2622 2668 2736 2755 2760 2784 2880 2944 3040 3306 3312 3335 3420 3480 3496 3648 3680 3712 3933 4002 4140 4176 4370 4408 4416 4560 4640 4959 5220 5244 5336 5472 5510 5520 5568 5760 6003 6080 6555 6612 6624 6670 6840 6960 6992 7296 7360 7866 8004 8265 8280 8352 8740 8816 8832 9120 9280 9918 10005 10440 10488 10672 10944 11020 11040 11136 12006 12160 12673 13110 13224 13248 13340 13680 13920 13984 14720 15732 16008 16530 16560 16704 17480 17632 18240 18560 19665 19836 20010 20880 20976 21344 21888 22040 22080 24012 24795 25346 26220 26448 26496 26680 27360 27840 27968 30015 31464 32016 33060 33120 33408 34960 35264 36480 38019 39330 39672 40020 41760 41952 42688 44080 44160 48024 49590 50692 52440 52896 53360 54720 55680 55936 60030 62928 63365 64032 66120 66240 69920 70528 76038 78660 79344 80040 83520 83904 85376 88160 96048 99180 101384 104880 105792 106720 109440 114057 120060 125856 126730 128064 132240 132480 139840 152076 157320 158688 160080 167040 167808 176320 190095 192096 198360 202768 209760 211584 213440 228114 240120 251712 253460 256128 264480 279680 304152 314640 317376 320160 352640 380190 384192 396720 405536 419520 426880 456228 480240 503424 506920 528960 570285 608304 629280 634752 640320 760380 768384 793440 811072 839040 912456 960480 1013840 1057920 1140570 1216608 1258560 1280640 1520760 1586880 1622144 1824912 1920960 2027680 2281140 2433216 2517120 3041520 3173760 3649824 3841920 4055360 4562280 4866432 6083040 7299648 8110720 9124560 12166080 14599296 18249120 24332160 36498240 72996480
- Sum of all divisors σ(n): 286416000
- Sum of proper divisors (its aliquot sum) s(n): 213419520
- 72996480 is an abundant number, because the sum of its proper divisors (213419520) is greater than itself. Its abundance is 140423040
Bases of 72996480
- Binary: 1000101100111010110100000002
- Hexadecimal: 0x459D680
- Base-36: 17GKG0
Squares and roots of 72996480
- 72996480 squared (729964802) is 5328486092390400
- 72996480 cubed (729964803) is 388960728473453985792000
-
The
square root of 72996480 is 8543.7977504153 -
The
cube root of 72996480 is 417.9272020537
Scales and comparisons
How big is 72996480?- 72,996,480 seconds is equal to 2 years, 16 weeks, 4 days, 20 hours, 48 minutes.
-
To count from 1 to 72,996,480 would take you about three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 72996480 cubic inches would be around 34.8 feet tall.
Recreational maths with 72996480
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 72996480 - Facts about the integer". Numbermatics.com. 2024. Web. 20 April 2024.
APA style:
Numbermatics. (2024). Number 72996480 - Facts about the integer. Retrieved 20 April 2024, from https://numbermatics.com/n/72996480/
Chicago style:
Numbermatics. 2024. "Number 72996480 - Facts about the integer". https://numbermatics.com/n/72996480/
The information we have on file for 72996480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 72996480, math, Factors of 72996480, curriculum, school, college, exams, university, Prime factorization of 72996480, STEM, science, technology, engineering, physics, economics, calculator, seventy-two million, nine hundred ninety-six thousand, four hundred eighty.