The number 72387
72387 is a composite number with 16 divisors. Its prime factorisation is × 7 × 383. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 383, 1149, 2681, 3447, 8043, 10341, 24129, 72387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72387: a Harshad number: divisible by its digit sum 27.
- 2
72387 is composite. Its prime factorisation is
- 3
The divisors add up to 122880; without 72387 itself that is 50493, so 72387 is deficient (50493 is less than 72387). Euler's totient φ(72387) = 41256 numbers up to 72387 share no factor with it.
- 4
The digits of 72387 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72387 = 3^{3} \times 7 \times 383 \]72387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122880 |
| Euler totient φ(n) | 41256 |
| Square | 5239877769 |
| Cube | 379299032064603 |
| Square root | 269.048323 (= 3√8043) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2387 × |
72387 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and eighty-seven |
| Binary (base 2) | 10001101011000011 |
| Octal (base 8) | 215303 |
| Hexadecimal (base 16) | 11AC3 |
| Base 3 | 10200022000 |
| As time | 72387 seconds = 20 h 6 min 27 s |
Is 72387 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 (72387 ÷ 3 = 24129) | 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 | No (remainder 2) | 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 | Yes (72387 ÷ 7 = 10341) | 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 | Yes (72387 ÷ 9 = 8043) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 72387 a prime number?
No. 72387 = × 7 × 383, so it is divisible by 3.
What are the factors of 72387?
1, 3, 7, 9, 21, 27, 63, 189, 383, 1149, 2681, 3447, 8043, 10341, 24129, 72387.
What is 72387 in binary?
10001101011000011 (hexadecimal 11AC3, octal 215303).
What is the square root of 72387?
About 269.0483, exactly 3√8043.
Is 72387 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72387?
72387 is a Harshad number: divisible by its digit sum 27.