72768

72,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 72768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

72768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 72768:

2⁶ × 3 × 379

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 379)

See below for interesting mathematical facts about the number 72768 from the Numbermatics database.

Names of 72768

Cardinal: 72768 can be written as Seventy-two thousand, seven hundred sixty-eight.

Scientific notation

Scientific notation: 7.2768 × 10⁴

Factors of 72768

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 384

Divisors of 72768

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 192 379 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 72768
Sum of all divisors σ(n): 193040
Sum of proper divisors (its aliquot sum) s(n): 120272
72768 is an abundant number, because the sum of its proper divisors (120272) is greater than itself. Its abundance is 47504

Bases of 72768

Binary: 10001110001000000₂
Hexadecimal: 0x11C40
Base-36: 1K5C

Squares and roots of 72768

72768 squared (72768²) is 5295181824
72768 cubed (72768³) is 385319790968832
The square root of 72768 is 269.7554448013
The cube root of 72768 is 41.7490707001

Scales and comparisons

How big is 72768?

72,768 seconds is equal to 20 hours, 12 minutes, 48 seconds.
To count from 1 to 72,768 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 72768 cubic inches would be around 3.5 feet tall.

Recreational maths with 72768

72768 backwards is 86727
The number of decimal digits it has is: 5
The sum of 72768's digits is 30
More coming soon!

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The information we have on file for 72768 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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