The number 72036
72036 is a composite number with 48 divisors. Its prime factorisation is × × 23 × 29. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 29, 36, 46, 54, 58, 69 … 72036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72036: a Harshad number: divisible by its digit sum 18.
- 2
72036 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 72036 itself that is 129564, so 72036 is abundant (129564 is more than 72036). Euler's totient φ(72036) = 22176 numbers up to 72036 share no factor with it.
- 4
The digits of 72036 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72036 = 2^{2} \times 3^{3} \times 23 \times 29 \]72036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 22176 |
| Square | 5189185296 |
| Cube | 373808151982656 |
| Square root | 268.395231 (= 6√2001) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2036 × |
72036 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and thirty-six |
| Binary (base 2) | 10001100101100100 |
| Octal (base 8) | 214544 |
| Hexadecimal (base 16) | 11964 |
| Base 3 | 10122211000 |
| As time | 72036 seconds = 20 h 0 min 36 s |
Is 72036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72036 ÷ 2 = 36018) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72036 ÷ 3 = 24012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72036 ÷ 4 = 18009) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72036 ÷ 6 = 12006) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72036 ÷ 9 = 8004) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (72036 ÷ 12 = 6003) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72036 a prime number?
No. 72036 = × × 23 × 29, so it is divisible by 2.
What are the factors of 72036?
1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 29, 36, 46, 54, 58, 69, 87, 92, 108, 116, 138, 174, 207, 261, 276, 348, 414, 522, 621, 667, 783, 828, 1044, 1242, 1334, 1566, 2001, 2484, 2668, 3132, 4002, 6003, 8004, 12006, 18009, 24012, 36018, 72036.
What is 72036 in binary?
10001100101100100 (hexadecimal 11964, octal 214544).
What is the square root of 72036?
About 268.3952, exactly 6√2001.
Is 72036 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72036?
72036 is a Harshad number: divisible by its digit sum 18.