72738144
72,738,144 is an even composite number composed of five prime numbers multiplied together.
72738144 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 72738144:
25 × 32 × 23 × 79 × 139
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 79 × 139)See below for interesting mathematical facts about the number 72738144 from the Numbermatics database.
Names of 72738144
- Cardinal: 72738144 can be written as Seventy-two million, seven hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 7.2738144 × 107
Factors of 72738144
Divisors of 72738144
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 79 92 96 138 139 144 158 184 207 237 276 278 288 316 368 414 417 474 552 556 632 711 736 828 834 948 1104 1112 1251 1264 1422 1656 1668 1817 1896 2208 2224 2502 2528 2844 3197 3312 3336 3634 3792 4448 5004 5451 5688 6394 6624 6672 7268 7584 9591 10008 10902 10981 11376 12788 13344 14536 16353 19182 20016 21804 21962 22752 25576 28773 29072 32706 32943 38364 40032 43608 43924 51152 57546 58144 65412 65886 76728 87216 87848 98829 102304 115092 130824 131772 153456 174432 175696 197658 230184 252563 261648 263544 306912 351392 395316 460368 505126 523296 527088 757689 790632 920736 1010252 1054176 1515378 1581264 2020504 2273067 3030756 3162528 4041008 4546134 6061512 8082016 9092268 12123024 18184536 24246048 36369072 72738144
- Sum of all divisors σ(n): 220147200
- Sum of proper divisors (its aliquot sum) s(n): 147409056
- 72738144 is an abundant number, because the sum of its proper divisors (147409056) is greater than itself. Its abundance is 74670912
Bases of 72738144
- Binary: 1000101010111100101011000002
- Hexadecimal: 0x455E560
- Base-36: 17B140
Squares and roots of 72738144
- 72738144 squared (727381442) is 5290837592564736
- 72738144 cubed (727381443) is 384845706688587096489984
-
The
square root of 72738144 is 8528.6660152689 -
The
cube root of 72738144 is 417.4336017371
Scales and comparisons
How big is 72738144?- 72,738,144 seconds is equal to 2 years, 16 weeks, 1 day, 21 hours, 2 minutes, 24 seconds.
-
To count from 1 to 72,738,144 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 72738144 cubic inches would be around 34.8 feet tall.
Recreational maths with 72738144
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 72738144 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 72738144 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/72738144/
Chicago style:
Numbermatics. 2024. "Number 72738144 - Facts about the integer". https://numbermatics.com/n/72738144/
The information we have on file for 72738144 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 72738144, math, Factors of 72738144, curriculum, school, college, exams, university, Prime factorization of 72738144, STEM, science, technology, engineering, physics, economics, calculator, seventy-two million, seven hundred thirty-eight thousand, one hundred forty-four.