# 2072

## 2,072 is an even composite number composed of three prime numbers multiplied together.

What does the number 2072 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

2072 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2072:

### 23 × 7 × 37

(2 × 2 × 2 × 7 × 37)

See below for interesting mathematical facts about the number 2072 from the Numbermatics database.

### Names of 2072

• Cardinal: 2072 can be written as Two thousand and seventy-two.

### Scientific notation

• Scientific notation: 2.072 × 103

### Factors of 2072

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 46

### Divisors of 2072

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 4560
• Sum of proper divisors (its aliquot sum) s(n): 2488
• 2072 is an abundant number, because the sum of its proper divisors (2488) is greater than itself. Its abundance is 416

### Bases of 2072

• Binary: 1000000110002
• Base-36: 1LK

### Squares and roots of 2072

• 2072 squared (20722) is 4293184
• 2072 cubed (20723) is 8895477248
• The square root of 2072 is 45.5192267069
• The cube root of 2072 is 12.7486221759

### Scales and comparisons

How big is 2072?
• 2,072 seconds is equal to 34 minutes, 32 seconds.
• To count from 1 to 2,072 would take you about thirty-four minutes.

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 2072 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2072

• 2072 backwards is 2702
• The number of decimal digits it has is: 4
• The sum of 2072's digits is 11
• More coming soon!