72180

72,180 is an even composite number composed of four prime numbers multiplied together.

What does the number 72180 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

72180 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 72180:

2² × 3² × 5 × 401

(2 × 2 × 3 × 3 × 5 × 401)

See below for interesting mathematical facts about the number 72180 from the Numbermatics database.

Names of 72180

Cardinal: 72180 can be written as Seventy-two thousand, one hundred eighty.

Scientific notation

Scientific notation: 7.218 × 10⁴

Factors of 72180

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 411

Divisors of 72180

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 12030 14436 18045 24060 36090 72180
Sum of all divisors σ(n): 219492
Sum of proper divisors (its aliquot sum) s(n): 147312
72180 is an abundant number, because the sum of its proper divisors (147312) is greater than itself. Its abundance is 75132

Bases of 72180

Binary: 10001100111110100₂
Hexadecimal: 0x119F4
Base-36: 1JP0

Squares and roots of 72180

72180 squared (72180²) is 5209952400
72180 cubed (72180³) is 376054364232000
The square root of 72180 is 268.6633581269
The cube root of 72180 is 41.6363156747

Scales and comparisons

How big is 72180?

72,180 seconds is equal to 20 hours, 3 minutes.
To count from 1 to 72,180 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 72180 cubic inches would be around 3.5 feet tall.

Recreational maths with 72180

72180 backwards is 08127
72180 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 72180's digits is 18
More coming soon!

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The information we have on file for 72180 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!

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