The number 72112
72112 is a composite number with 10 divisors. Its prime factorisation is × 4507. Divisors (10): 1, 2, 4, 8, 16, 4507, 9014, 18028, 36056, 72112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72112 is composite. Its prime factorisation is
- 3
The divisors add up to 139748; without 72112 itself that is 67636, so 72112 is deficient (67636 is less than 72112). Euler's totient φ(72112) = 36048 numbers up to 72112 share no factor with it.
- 4
The digits of 72112 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72112 = 2^{4} \times 4507 \]72112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 139748 |
| Euler totient φ(n) | 36048 |
| Square | 5200140544 |
| Cube | 374992534908928 |
| Square root | 268.536776 (= 4√4507) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2112 × |
72112 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and twelve |
| Binary (base 2) | 10001100110110000 |
| Octal (base 8) | 214660 |
| Hexadecimal (base 16) | 119B0 |
| Base 3 | 10122220211 |
| As time | 72112 seconds = 20 h 1 min 52 s |
Is 72112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72112 ÷ 2 = 36056) | 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 (72112 ÷ 4 = 18028) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (72112 ÷ 8 = 9014) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 72112 a prime number?
No. 72112 = × 4507, so it is divisible by 2.
What are the factors of 72112?
1, 2, 4, 8, 16, 4507, 9014, 18028, 36056, 72112.
What is 72112 in binary?
10001100110110000 (hexadecimal 119B0, octal 214660).
What is the square root of 72112?
About 268.5368, exactly 4√4507.
Is 72112 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 72112?
It is a composite number with 10 divisors.