The number 72744
72744 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 433. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 72744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72744: a Harshad number: divisible by its digit sum 24.
- 2
72744 is composite. Its prime factorisation is
- 3
The divisors add up to 208320; without 72744 itself that is 135576, so 72744 is abundant (135576 is more than 72744). Euler's totient φ(72744) = 20736 numbers up to 72744 share no factor with it.
- 4
The digits of 72744 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72744 = 2^{3} \times 3 \times 7 \times 433 \]72744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 208320 |
| Euler totient φ(n) | 20736 |
| Square | 5291689536 |
| Cube | 384938663606784 |
| Square root | 269.710956 (= 2√18186) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2744 × |
72744 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and forty-four |
| Binary (base 2) | 10001110000101000 |
| Octal (base 8) | 216050 |
| Hexadecimal (base 16) | 11C28 |
| Base 3 | 10200210020 |
| As time | 72744 seconds = 20 h 12 min 24 s |
Is 72744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72744 ÷ 2 = 36372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72744 ÷ 3 = 24248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72744 ÷ 4 = 18186) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72744 ÷ 6 = 12124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72744 ÷ 7 = 10392) | 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 (72744 ÷ 8 = 9093) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72744 ÷ 12 = 6062) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72744 a prime number?
No. 72744 = × 3 × 7 × 433, so it is divisible by 2.
What are the factors of 72744?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 433, 866, 1299, 1732, 2598, 3031, 3464, 5196, 6062, 9093, 10392, 12124, 18186, 24248, 36372, 72744.
What is 72744 in binary?
10001110000101000 (hexadecimal 11C28, octal 216050).
What is the square root of 72744?
About 269.7110, exactly 2√18186.
Is 72744 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72744?
72744 is a Harshad number: divisible by its digit sum 24.