# 72960

## 72,960 is an even composite number composed of four prime numbers multiplied together.

What does the number 72960 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

72960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 72960:

### 28 × 3 × 5 × 19

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19)

See below for interesting mathematical facts about the number 72960 from the Numbermatics database.

### Names of 72960

• Cardinal: 72960 can be written as Seventy-two thousand, nine hundred sixty.

### Scientific notation

• Scientific notation: 7.296 × 104

### Factors of 72960

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 29

### Divisors of 72960

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 245280
• Sum of proper divisors (its aliquot sum) s(n): 172320
• 72960 is an abundant number, because the sum of its proper divisors (172320) is greater than itself. Its abundance is 99360

### Bases of 72960

• Binary: 100011101000000002
• Base-36: 1KAO

### Squares and roots of 72960

• 72960 squared (729602) is 5323161600
• 72960 cubed (729603) is 388377870336000
• The square root of 72960 is 270.1110882581
• The cube root of 72960 is 41.7857570729

### Scales and comparisons

How big is 72960?
• 72,960 seconds is equal to 20 hours, 16 minutes.
• To count from 1 to 72,960 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 72960 cubic inches would be around 3.5 feet tall.

### Recreational maths with 72960

• 72960 backwards is 06927
• 72960 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 72960's digits is 24
• More coming soon!