The number 72700
72700 is a composite number with 18 divisors. Its prime factorisation is × × 727. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 727, 1454, 2908, 3635, 7270, 14540, 18175 … 72700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72700 is composite. Its prime factorisation is
- 3
The divisors add up to 157976; without 72700 itself that is 85276, so 72700 is abundant (85276 is more than 72700). Euler's totient φ(72700) = 29040 numbers up to 72700 share no factor with it.
- 4
The digits of 72700 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72700 = 2^{2} \times 5^{2} \times 727 \]72700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 157976 |
| Euler totient φ(n) | 29040 |
| Square | 5285290000 |
| Cube | 384240583000000 |
| Square root | 269.629375 (= 10√727) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.27 × |
72700 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred |
| Binary (base 2) | 10001101111111100 |
| Octal (base 8) | 215774 |
| Hexadecimal (base 16) | 11BFC |
| Base 3 | 10200201121 |
| As time | 72700 seconds = 20 h 11 min 40 s |
Is 72700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72700 ÷ 2 = 36350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72700 ÷ 4 = 18175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72700 ÷ 5 = 14540) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72700 ÷ 10 = 7270) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72700 a prime number?
No. 72700 = × × 727, so it is divisible by 2.
What are the factors of 72700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 727, 1454, 2908, 3635, 7270, 14540, 18175, 36350, 72700.
What is 72700 in binary?
10001101111111100 (hexadecimal 11BFC, octal 215774).
What is the square root of 72700?
About 269.6294, exactly 10√727.
Is 72700 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72700?
It is a composite number with 18 divisors.