72384

72,384 is an even composite number composed of four prime numbers multiplied together.

What does the number 72384 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

72384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 72384:

2⁶ × 3 × 13 × 29

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 29)

See below for interesting mathematical facts about the number 72384 from the Numbermatics database.

Names of 72384

Cardinal: 72384 can be written as Seventy-two thousand, three hundred eighty-four.

Scientific notation

Scientific notation: 7.2384 × 10⁴

Factors of 72384

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 47

Divisors of 72384

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5568 6032 9048 12064 18096 24128 36192 72384
Sum of all divisors σ(n): 213360
Sum of proper divisors (its aliquot sum) s(n): 140976
72384 is an abundant number, because the sum of its proper divisors (140976) is greater than itself. Its abundance is 68592

Bases of 72384

Binary: 10001101011000000₂
Hexadecimal: 0x11AC0
Base-36: 1JUO

Squares and roots of 72384

72384 squared (72384²) is 5239443456
72384 cubed (72384³) is 379251875119104
The square root of 72384 is 269.0427475329
The cube root of 72384 is 41.6755039033

Scales and comparisons

How big is 72384?

72,384 seconds is equal to 20 hours, 6 minutes, 24 seconds.
To count from 1 to 72,384 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 72384 cubic inches would be around 3.5 feet tall.

Recreational maths with 72384

72384 backwards is 48327
72384 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 72384's digits is 24
More coming soon!

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The information we have on file for 72384 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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