73664

73,664 is an even composite number composed of two prime numbers multiplied together.

What does the number 73664 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

73664 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

Prime factorization of 73664:

26 × 1151

(2 × 2 × 2 × 2 × 2 × 2 × 1151)

See below for interesting mathematical facts about the number 73664 from the Numbermatics database.


Names of 73664

  • Cardinal: 73664 can be written as Seventy-three thousand, six hundred sixty-four.

Scientific notation

  • Scientific notation: 7.3664 × 104

Factors of 73664

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 1153

Divisors of 73664

  • Number of divisors d(n): 14
  • Complete list of divisors:
  • Sum of all divisors σ(n): 146304
  • Sum of proper divisors (its aliquot sum) s(n): 72640
  • 73664 is a deficient number, because the sum of its proper divisors (72640) is less than itself. Its deficiency is 1024

Bases of 73664

  • Binary: 100011111110000002
  • Hexadecimal: 0x11FC0
  • Base-36: 1KU8

Squares and roots of 73664

  • 73664 squared (736642) is 5426384896
  • 73664 cubed (736643) is 399729216978944
  • The square root of 73664 is 271.4111272589
  • The cube root of 73664 is 41.9197257331

Scales and comparisons

How big is 73664?
  • 73,664 seconds is equal to 20 hours, 27 minutes, 44 seconds.
  • To count from 1 to 73,664 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 73664 cubic inches would be around 3.5 feet tall.

Recreational maths with 73664

  • 73664 backwards is 46637
  • The number of decimal digits it has is: 5
  • The sum of 73664's digits is 26
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

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 73664 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 73664 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/73664/

Chicago style:
Numbermatics. 2024. "Number 73664 - Facts about the integer". https://numbermatics.com/n/73664/

The information we have on file for 73664 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 73664, math, Factors of 73664, curriculum, school, college, exams, university, Prime factorization of 73664, STEM, science, technology, engineering, physics, economics, calculator, seventy-three thousand, six hundred sixty-four.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.