# 4072

## 4,072 is an even composite number composed of two prime numbers multiplied together.

What does the number 4072 look like?

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

4072 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 4072:

### 23 × 509

(2 × 2 × 2 × 509)

See below for interesting mathematical facts about the number 4072 from the Numbermatics database.

### Names of 4072

• Cardinal: 4072 can be written as Four thousand and seventy-two.

### Scientific notation

• Scientific notation: 4.072 × 103

### Factors of 4072

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 511

### Divisors of 4072

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 7650
• Sum of proper divisors (its aliquot sum) s(n): 3578
• 4072 is a deficient number, because the sum of its proper divisors (3578) is less than itself. Its deficiency is 494

### Bases of 4072

• Binary: 1111111010002
• Base-36: 354

### Squares and roots of 4072

• 4072 squared (40722) is 16581184
• 4072 cubed (40723) is 67518581248
• The square root of 4072 is 63.8122245341
• The cube root of 4072 is 15.9686887653

### Scales and comparisons

How big is 4072?
• 4,072 seconds is equal to 1 hour, 7 minutes, 52 seconds.
• To count from 1 to 4,072 would take you about seven 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 4072 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4072

• 4072 backwards is 2704
• The number of decimal digits it has is: 4
• The sum of 4072's digits is 13
• More coming soon!