The number 75072
75072 is a composite number with 56 divisors. Its prime factorisation is × 3 × 17 × 23. Divisors (56): 1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 32, 34, 46, 48, 51 … 75072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75072 is composite. Its prime factorisation is
- 3
The divisors add up to 219456; without 75072 itself that is 144384, so 75072 is abundant (144384 is more than 75072). Euler's totient φ(75072) = 22528 numbers up to 75072 share no factor with it.
- 4
The digits of 75072 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75072 = 2^{6} \times 3 \times 17 \times 23 \]75072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 219456 |
| Euler totient φ(n) | 22528 |
| Square | 5635805184 |
| Cube | 423091166773248 |
| Square root | 273.992701 (= 8√1173) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.5072 × |
75072 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and seventy-two |
| Binary (base 2) | 10010010101000000 |
| Octal (base 8) | 222500 |
| Hexadecimal (base 16) | 12540 |
| Base 3 | 10210222110 |
| As time | 75072 seconds = 20 h 51 min 12 s |
Is 75072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75072 ÷ 2 = 37536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75072 ÷ 3 = 25024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75072 ÷ 4 = 18768) | 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 | Yes (75072 ÷ 6 = 12512) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (75072 ÷ 8 = 9384) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (75072 ÷ 12 = 6256) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75072 a prime number?
No. 75072 = × 3 × 17 × 23, so it is divisible by 2.
What are the factors of 75072?
1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 32, 34, 46, 48, 51, 64, 68, 69, 92, 96, 102, 136, 138, 184, 192, 204, 272, 276, 368, 391, 408, 544, 552, 736, 782, 816, 1088, 1104, 1173, 1472, 1564, 1632, 2208, 2346, 3128, 3264, 4416, 4692, 6256, 9384, 12512, 18768, 25024, 37536, 75072.
What is 75072 in binary?
10010010101000000 (hexadecimal 12540, octal 222500).
What is the square root of 75072?
About 273.9927, exactly 8√1173.
Is 75072 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 75072?
It is a composite number with 56 divisors.