# 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!

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"Number 2072 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 2072 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/2072/

Chicago style:
Numbermatics. 2023. "Number 2072 - Facts about the integer". https://numbermatics.com/n/2072/

The information we have on file for 2072 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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