The number 72136
72136 is a composite number with 16 divisors. Its prime factorisation is × 71 × 127. Divisors (16): 1, 2, 4, 8, 71, 127, 142, 254, 284, 508, 568, 1016, 9017, 18034, 36068, 72136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72136 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 72136 itself that is 66104, so 72136 is deficient (66104 is less than 72136). Euler's totient φ(72136) = 35280 numbers up to 72136 share no factor with it.
- 4
The digits of 72136 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72136 = 2^{3} \times 71 \times 127 \]72136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 35280 |
| Square | 5203602496 |
| Cube | 375367069651456 |
| Square root | 268.581459 (= 2√18034) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2136 × |
72136 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirty-six |
| Binary (base 2) | 10001100111001000 |
| Octal (base 8) | 214710 |
| Hexadecimal (base 16) | 119C8 |
| Base 3 | 10122221201 |
| As time | 72136 seconds = 20 h 2 min 16 s |
Is 72136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72136 ÷ 2 = 36068) | 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 (72136 ÷ 4 = 18034) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 | Yes (72136 ÷ 8 = 9017) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 72136 a prime number?
No. 72136 = × 71 × 127, so it is divisible by 2.
What are the factors of 72136?
1, 2, 4, 8, 71, 127, 142, 254, 284, 508, 568, 1016, 9017, 18034, 36068, 72136.
What is 72136 in binary?
10001100111001000 (hexadecimal 119C8, octal 214710).
What is the square root of 72136?
About 268.5815, exactly 2√18034.
Is 72136 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72136?
It is a composite number with 16 divisors.