72968

72,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 72968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

72968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 72968:

23 × 7 × 1303

(2 × 2 × 2 × 7 × 1303)

See below for interesting mathematical facts about the number 72968 from the Numbermatics database.


Names of 72968

  • Cardinal: 72968 can be written as Seventy-two thousand, nine hundred sixty-eight.

Scientific notation

  • Scientific notation: 7.2968 × 104

Factors of 72968

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 1312

Divisors of 72968

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 156480
  • Sum of proper divisors (its aliquot sum) s(n): 83512
  • 72968 is an abundant number, because the sum of its proper divisors (83512) is greater than itself. Its abundance is 10544

Bases of 72968

  • Binary: 100011101000010002
  • Hexadecimal: 0x11D08
  • Base-36: 1KAW

Squares and roots of 72968

  • 72968 squared (729682) is 5324329024
  • 72968 cubed (729683) is 388505640223232
  • The square root of 72968 is 270.1258965741
  • The cube root of 72968 is 41.7872842743

Scales and comparisons

How big is 72968?
  • 72,968 seconds is equal to 20 hours, 16 minutes, 8 seconds.
  • To count from 1 to 72,968 would take you about twenty hours.

    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 72968 cubic inches would be around 3.5 feet tall.

Recreational maths with 72968

  • 72968 backwards is 86927
  • The number of decimal digits it has is: 5
  • The sum of 72968's digits is 32
  • More coming soon!

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"Number 72968 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

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Numbermatics. (2024). Number 72968 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/72968/

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Numbermatics. 2024. "Number 72968 - Facts about the integer". https://numbermatics.com/n/72968/

The information we have on file for 72968 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 72968, math, Factors of 72968, curriculum, school, college, exams, university, Prime factorization of 72968, STEM, science, technology, engineering, physics, economics, calculator, seventy-two thousand, nine hundred sixty-eight.

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