# 12672

## 12,672 is an even composite number composed of three prime numbers multiplied together.

What does the number 12672 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

12672 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 12672:

### 27 × 32 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 12672 from the Numbermatics database.

### Names of 12672

• Cardinal: 12672 can be written as Twelve thousand, six hundred seventy-two.

### Scientific notation

• Scientific notation: 1.2672 × 104

### Factors of 12672

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 16

### Divisors of 12672

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 39780
• Sum of proper divisors (its aliquot sum) s(n): 27108
• 12672 is an abundant number, because the sum of its proper divisors (27108) is greater than itself. Its abundance is 14436

### Bases of 12672

• Binary: 110001100000002
• Base-36: 9S0

### Squares and roots of 12672

• 12672 squared (126722) is 160579584
• 12672 cubed (126723) is 2034864488448
• The square root of 12672 is 112.5699782357
• The cube root of 12672 is 23.3139067329

### Scales and comparisons

How big is 12672?
• 12,672 seconds is equal to 3 hours, 31 minutes, 12 seconds.
• To count from 1 to 12,672 would take you about three 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 12672 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12672

• 12672 backwards is 27621
• 12672 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12672's digits is 18
• More coming soon!