# 75264

## 75,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 75264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

75264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 75264:

### 29 × 3 × 72

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 75264 from the Numbermatics database.

### Names of 75264

• Cardinal: 75264 can be written as Seventy-five thousand, two hundred sixty-four.

### Scientific notation

• Scientific notation: 7.5264 × 104

### Factors of 75264

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 12

### Divisors of 75264

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 233244
• Sum of proper divisors (its aliquot sum) s(n): 157980
• 75264 is an abundant number, because the sum of its proper divisors (157980) is greater than itself. Its abundance is 82716

### Bases of 75264

• Binary: 100100110000000002
• Base-36: 1M2O

### Squares and roots of 75264

• 75264 squared (752642) is 5664669696
• 75264 cubed (752643) is 426345699999744
• The square root of 75264 is 274.3428511915
• The cube root of 75264 is 42.2210567033

### Scales and comparisons

How big is 75264?
• 75,264 seconds is equal to 20 hours, 54 minutes, 24 seconds.
• To count from 1 to 75,264 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 75264 cubic inches would be around 3.5 feet tall.

### Recreational maths with 75264

• 75264 backwards is 46257
• 75264 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 75264's digits is 24
• More coming soon!