# 8072

## 8,072 is an even composite number composed of two prime numbers multiplied together.

What does the number 8072 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

8072 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 8072:

### 23 × 1009

(2 × 2 × 2 × 1009)

See below for interesting mathematical facts about the number 8072 from the Numbermatics database.

### Names of 8072

• Cardinal: 8072 can be written as Eight thousand and seventy-two.

### Scientific notation

• Scientific notation: 8.072 × 103

### Factors of 8072

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 1011

### Divisors of 8072

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 15150
• Sum of proper divisors (its aliquot sum) s(n): 7078
• 8072 is a deficient number, because the sum of its proper divisors (7078) is less than itself. Its deficiency is 994

### Bases of 8072

• Binary: 11111100010002
• Base-36: 688

### Squares and roots of 8072

• 8072 squared (80722) is 65157184
• 8072 cubed (80723) is 525948789248
• The square root of 8072 is 89.8443097807
• The cube root of 8072 is 20.0598208947

### Scales and comparisons

How big is 8072?
• 8,072 seconds is equal to 2 hours, 14 minutes, 32 seconds.
• To count from 1 to 8,072 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 8072 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8072

• 8072 backwards is 2708
• The number of decimal digits it has is: 4
• The sum of 8072's digits is 17
• More coming soon!