33072

33,072 is an even composite number composed of four prime numbers multiplied together.

What does the number 33072 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

33072 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 33072:

2⁴ × 3 × 13 × 53

(2 × 2 × 2 × 2 × 3 × 13 × 53)

See below for interesting mathematical facts about the number 33072 from the Numbermatics database.

Names of 33072

Cardinal: 33072 can be written as Thirty-three thousand and seventy-two.

Scientific notation

Scientific notation: 3.3072 × 10⁴

Factors of 33072

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 71

Divisors of 33072

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 5512 8268 11024 16536 33072
Sum of all divisors σ(n): 93744
Sum of proper divisors (its aliquot sum) s(n): 60672
33072 is an abundant number, because the sum of its proper divisors (60672) is greater than itself. Its abundance is 27600

Bases of 33072

Binary: 1000000100110000₂
Hexadecimal: 0x8130
Base-36: PIO

Squares and roots of 33072

33072 squared (33072²) is 1093757184
33072 cubed (33072³) is 36172737589248
The square root of 33072 is 181.8570867467
The cube root of 33072 is 32.0986538775

Scales and comparisons

How big is 33072?

33,072 seconds is equal to 9 hours, 11 minutes, 12 seconds.
To count from 1 to 33,072 would take you about nine 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 33072 cubic inches would be around 2.7 feet tall.

Recreational maths with 33072

33072 backwards is 27033
The number of decimal digits it has is: 5
The sum of 33072's digits is 15
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/33072/?utm_source=shared">Number 33072 - 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/33072/?utm_source=shared]Number 33072 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 33072 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.

APA style:
Numbermatics. (2024). Number 33072 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/33072/

Chicago style:
Numbermatics. 2024. "Number 33072 - Facts about the integer". https://numbermatics.com/n/33072/

The information we have on file for 33072 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 33072, math, Factors of 33072, curriculum, school, college, exams, university, Prime factorization of 33072, STEM, science, technology, engineering, physics, economics, calculator, thirty-three thousand and seventy-two.