72128

72,128 is an even composite number composed of three prime numbers multiplied together.

What does the number 72128 look like?

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

72128 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 72128:

26 × 72 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 23)

See below for interesting mathematical facts about the number 72128 from the Numbermatics database.

Names of 72128

• Cardinal: 72128 can be written as Seventy-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 7.2128 × 104

Factors of 72128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 32

Divisors of 72128

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 173736
• Sum of proper divisors (its aliquot sum) s(n): 101608
• 72128 is an abundant number, because the sum of its proper divisors (101608) is greater than itself. Its abundance is 29480

Bases of 72128

• Binary: 100011001110000002
• Base-36: 1JNK

Squares and roots of 72128

• 72128 squared (721282) is 5202448384
• 72128 cubed (721283) is 375242197041152
• The square root of 72128 is 268.5665653055
• The cube root of 72128 is 41.6263147117

Scales and comparisons

How big is 72128?
• 72,128 seconds is equal to 20 hours, 2 minutes, 8 seconds.
• To count from 1 to 72,128 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 72128 cubic inches would be around 3.5 feet tall.

Recreational maths with 72128

• 72128 backwards is 82127
• The number of decimal digits it has is: 5
• The sum of 72128's digits is 20
• More coming soon!

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