The number 36072
36072 is a composite number with 32 divisors. Its prime factorisation is × × 167. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 167 … 36072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36072: a Harshad number: divisible by its digit sum 18.
- 2
36072 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 36072 itself that is 64728, so 36072 is abundant (64728 is more than 36072). Euler's totient φ(36072) = 11952 numbers up to 36072 share no factor with it.
- 4
The digits of 36072 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36072 = 2^{3} \times 3^{3} \times 167 \]36072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 11952 |
| Square | 1301189184 |
| Cube | 46936496245248 |
| Square root | 189.926301 (= 6√1002) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6072 × |
36072 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and seventy-two |
| Binary (base 2) | 1000110011101000 |
| Octal (base 8) | 106350 |
| Hexadecimal (base 16) | 8CE8 |
| Base 3 | 1211111000 |
| As time | 36072 seconds = 10 h 1 min 12 s |
Is 36072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36072 ÷ 2 = 18036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36072 ÷ 3 = 12024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36072 ÷ 4 = 9018) | 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 (36072 ÷ 6 = 6012) | 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 (36072 ÷ 8 = 4509) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36072 ÷ 9 = 4008) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36072 ÷ 12 = 3006) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36072 a prime number?
No. 36072 = × × 167, so it is divisible by 2.
What are the factors of 36072?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 167, 216, 334, 501, 668, 1002, 1336, 1503, 2004, 3006, 4008, 4509, 6012, 9018, 12024, 18036, 36072.
What is 36072 in binary?
1000110011101000 (hexadecimal 8CE8, octal 106350).
What is the square root of 36072?
About 189.9263, exactly 6√1002.
Is 36072 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36072?
36072 is a Harshad number: divisible by its digit sum 18.