73152

73,152 is an even composite number composed of three prime numbers multiplied together.

What does the number 73152 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

73152 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 73152:

2⁶ × 3² × 127

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 127)

See below for interesting mathematical facts about the number 73152 from the Numbermatics database.

Names of 73152

Cardinal: 73152 can be written as Seventy-three thousand, one hundred fifty-two.

Scientific notation

Scientific notation: 7.3152 × 10⁴

Factors of 73152

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 132

Divisors of 73152

Number of divisors d(n): 42
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 18288 24384 36576 73152
Sum of all divisors σ(n): 211328
Sum of proper divisors (its aliquot sum) s(n): 138176
73152 is an abundant number, because the sum of its proper divisors (138176) is greater than itself. Its abundance is 65024

Bases of 73152

Binary: 10001110111000000₂
Hexadecimal: 0x11DC0
Base-36: 1KG0

Squares and roots of 73152

73152 squared (73152²) is 5351215104
73152 cubed (73152³) is 391452087287808
The square root of 73152 is 270.4662640701
The cube root of 73152 is 41.8223791401

Scales and comparisons

How big is 73152?

73,152 seconds is equal to 20 hours, 19 minutes, 12 seconds.
To count from 1 to 73,152 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 73152 cubic inches would be around 3.5 feet tall.

Recreational maths with 73152

73152 backwards is 25137
73152 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 73152's digits is 18
More coming soon!

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The information we have on file for 73152 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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