The number 72075
72075 is a composite number with 18 divisors. Its prime factorisation is 3 × × . Divisors (18): 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 961, 2325, 2883, 4805, 14415 … 72075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72075 is composite. Its prime factorisation is
- 3
The divisors add up to 123132; without 72075 itself that is 51057, so 72075 is deficient (51057 is less than 72075). Euler's totient φ(72075) = 37200 numbers up to 72075 share no factor with it.
- 4
The digits of 72075 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72075 = 3 \times 5^{2} \times 31^{2} \]72075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 123132 |
| Euler totient φ(n) | 37200 |
| Square | 5194805625 |
| Cube | 374415615421875 |
| Square root | 268.467875 (= 155√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2075 × |
72075 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and seventy-five |
| Binary (base 2) | 10001100110001011 |
| Octal (base 8) | 214613 |
| Hexadecimal (base 16) | 1198B |
| Base 3 | 10122212110 |
| As time | 72075 seconds = 20 h 1 min 15 s |
Is 72075 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72075 ÷ 3 = 24025) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72075 ÷ 5 = 14415) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72075 a prime number?
No. 72075 = 3 × × , so it is divisible by 3.
What are the factors of 72075?
1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 961, 2325, 2883, 4805, 14415, 24025, 72075.
What is 72075 in binary?
10001100110001011 (hexadecimal 1198B, octal 214613).
What is the square root of 72075?
About 268.4679, exactly 155√3.
Is 72075 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72075?
It is a composite number with 18 divisors.