72868320
72,868,320 is an even composite number composed of five prime numbers multiplied together.
72868320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 72868320:
25 × 32 × 5 × 7 × 7229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7229)See below for interesting mathematical facts about the number 72868320 from the Numbermatics database.
Names of 72868320
- Cardinal: 72868320 can be written as Seventy-two million, eight hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 7.286832 × 107
Factors of 72868320
Divisors of 72868320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 7229 10080 14458 21687 28916 36145 43374 50603 57832 65061 72290 86748 101206 108435 115664 130122 144580 151809 173496 202412 216870 231328 253015 260244 289160 303618 325305 346992 404824 433740 455427 506030 520488 578320 607236 650610 693984 759045 809648 867480 910854 1012060 1040976 1156640 1214472 1301220 1518090 1619296 1734960 1821708 2024120 2081952 2277135 2428944 2602440 3036180 3469920 3643416 4048240 4554270 4857888 5204880 6072360 7286832 8096480 9108540 10409760 12144720 14573664 18217080 24289440 36434160 72868320
- Sum of all divisors σ(n): 284225760
- Sum of proper divisors (its aliquot sum) s(n): 211357440
- 72868320 is an abundant number, because the sum of its proper divisors (211357440) is greater than itself. Its abundance is 138489120
Bases of 72868320
- Binary: 1000101011111100001111000002
- Hexadecimal: 0x457E1E0
- Base-36: 17DTK0
Squares and roots of 72868320
- 72868320 squared (728683202) is 5309792059622400
- 72868320 cubed (728683203) is 386915626934024122368000
-
The
square root of 72868320 is 8536.2942779641 -
The
cube root of 72868320 is 417.6824736919
Scales and comparisons
How big is 72868320?- 72,868,320 seconds is equal to 2 years, 16 weeks, 3 days, 9 hours, 12 minutes.
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To count from 1 to 72,868,320 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 72868320 cubic inches would be around 34.8 feet tall.
Recreational maths with 72868320
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The information we have on file for 72868320 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!
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