The number 72360
72360 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 67. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30 … 72360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72360: a Harshad number: divisible by its digit sum 18.
- 2
72360 is composite. Its prime factorisation is
- 3
The divisors add up to 244800; without 72360 itself that is 172440, so 72360 is abundant (172440 is more than 72360). Euler's totient φ(72360) = 19008 numbers up to 72360 share no factor with it.
- 4
The digits of 72360 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 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72360 = 2^{3} \times 3^{3} \times 5 \times 67 \]72360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 244800 |
| Euler totient φ(n) | 19008 |
| Square | 5235969600 |
| Cube | 378874760256000 |
| Square root | 268.998141 (= 6√2010) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 24 |
| Scientific notation | 7.236 × |
72360 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and sixty |
| Binary (base 2) | 10001101010101000 |
| Octal (base 8) | 215250 |
| Hexadecimal (base 16) | 11AA8 |
| Base 3 | 10200021000 |
| As time | 72360 seconds = 20 h 6 min 0 s |
Is 72360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72360 ÷ 2 = 36180) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72360 ÷ 3 = 24120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72360 ÷ 4 = 18090) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72360 ÷ 5 = 14472) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72360 ÷ 6 = 12060) | 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 (72360 ÷ 8 = 9045) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72360 ÷ 9 = 8040) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72360 ÷ 10 = 7236) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72360 ÷ 12 = 6030) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72360 a prime number?
No. 72360 = × × 5 × 67, so it is divisible by 2.
What are the factors of 72360?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 67, 72, 90, 108, 120, 134, 135, 180, 201, 216, 268, 270, 335, 360, 402, 536, 540, 603, 670, 804, 1005, 1080, 1206, 1340, 1608, 1809, 2010, 2412, 2680, 3015, 3618, 4020, 4824, 6030, 7236, 8040, 9045, 12060, 14472, 18090, 24120, 36180, 72360.
What is 72360 in binary?
10001101010101000 (hexadecimal 11AA8, octal 215250).
What is the square root of 72360?
About 268.9981, exactly 6√2010.
Is 72360 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72360?
72360 is a Harshad number: divisible by its digit sum 18.