# 7872

## 7,872 is an even composite number composed of three prime numbers multiplied together.

What does the number 7872 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

7872 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 7872:

### 26 × 3 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 41)

See below for interesting mathematical facts about the number 7872 from the Numbermatics database.

### Names of 7872

• Cardinal: 7872 can be written as Seven thousand, eight hundred seventy-two.

### Scientific notation

• Scientific notation: 7.872 × 103

### Factors of 7872

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 46

### Divisors of 7872

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 21336
• Sum of proper divisors (its aliquot sum) s(n): 13464
• 7872 is an abundant number, because the sum of its proper divisors (13464) is greater than itself. Its abundance is 5592

### Bases of 7872

• Binary: 11110110000002
• Base-36: 62O

### Squares and roots of 7872

• 7872 squared (78722) is 61968384
• 7872 cubed (78723) is 487815118848
• The square root of 7872 is 88.7242920513
• The cube root of 7872 is 19.8927593331

### Scales and comparisons

How big is 7872?
• 7,872 seconds is equal to 2 hours, 11 minutes, 12 seconds.
• To count from 1 to 7,872 would take you about two 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 7872 cubic inches would be around 1.7 feet tall.

### Recreational maths with 7872

• 7872 backwards is 2787
• 7872 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 7872's digits is 24
• More coming soon!