The number 76072
76072 is a composite number with 16 divisors. Its prime factorisation is × 37 × 257. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 257, 296, 514, 1028, 2056, 9509, 19018, 38036, 76072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76072 is composite. Its prime factorisation is
- 3
The divisors add up to 147060; without 76072 itself that is 70988, so 76072 is deficient (70988 is less than 76072). Euler's totient φ(76072) = 36864 numbers up to 76072 share no factor with it.
- 4
The digits of 76072 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76072 = 2^{3} \times 37 \times 257 \]76072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 147060 |
| Euler totient φ(n) | 36864 |
| Square | 5786949184 |
| Cube | 440224798325248 |
| Square root | 275.811530 (= 2√19018) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6072 × |
76072 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and seventy-two |
| Binary (base 2) | 10010100100101000 |
| Octal (base 8) | 224450 |
| Hexadecimal (base 16) | 12928 |
| Base 3 | 10212100111 |
| As time | 76072 seconds = 21 h 7 min 52 s |
Is 76072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76072 ÷ 2 = 38036) | 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 (76072 ÷ 4 = 19018) | 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 3) | 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 (76072 ÷ 8 = 9509) | 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 76072 a prime number?
No. 76072 = × 37 × 257, so it is divisible by 2.
What are the factors of 76072?
1, 2, 4, 8, 37, 74, 148, 257, 296, 514, 1028, 2056, 9509, 19018, 38036, 76072.
What is 76072 in binary?
10010100100101000 (hexadecimal 12928, octal 224450).
What is the square root of 76072?
About 275.8115, exactly 2√19018.
Is 76072 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 76072?
It is a composite number with 16 divisors.