9072

9,072 is an even composite number composed of three prime numbers multiplied together.

What does the number 9072 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 50 divisors.

9072 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty divisors.

Prime factorization of 9072:

2⁴ × 3⁴ × 7

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 9072 from the Numbermatics database.

Names of 9072

Cardinal: 9072 can be written as Nine thousand and seventy-two.

Scientific notation

Scientific notation: 9.072 × 10³

Factors of 9072

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 12

Divisors of 9072

Number of divisors d(n): 50
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072
Sum of all divisors σ(n): 30008
Sum of proper divisors (its aliquot sum) s(n): 20936
9072 is an abundant number, because the sum of its proper divisors (20936) is greater than itself. Its abundance is 11864

Bases of 9072

Binary: 10001101110000₂
Hexadecimal: 0x2370
Base-36: 700

Squares and roots of 9072

9072 squared (9072²) is 82301184
9072 cubed (9072³) is 746636341248
The square root of 9072 is 95.2470471983
The cube root of 9072 is 20.8561598693

Scales and comparisons

How big is 9072?

9,072 seconds is equal to 2 hours, 31 minutes, 12 seconds.
To count from 1 to 9,072 would take you about two 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 9072 cubic inches would be around 1.7 feet tall.

Recreational maths with 9072

9072 backwards is 2709
9072 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 9072's digits is 18
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.

<a href="https://numbermatics.com/n/9072/?utm_source=shared">Number 9072 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/9072/?utm_source=shared]Number 9072 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 9072 - Facts about the integer". Numbermatics.com. 2025. Web. 20 January 2025.

APA style:
Numbermatics. (2025). Number 9072 - Facts about the integer. Retrieved 20 January 2025, from https://numbermatics.com/n/9072/

Chicago style:
Numbermatics. 2025. "Number 9072 - Facts about the integer". https://numbermatics.com/n/9072/

The information we have on file for 9072 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 9072, math, Factors of 9072, curriculum, school, college, exams, university, Prime factorization of 9072, STEM, science, technology, engineering, physics, economics, calculator, nine thousand and seventy-two.