The number 72189
72189 is a composite number with 12 divisors. Its prime factorisation is × 13 × 617. Divisors (12): 1, 3, 9, 13, 39, 117, 617, 1851, 5553, 8021, 24063, 72189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72189 is composite. Its prime factorisation is
- 3
The divisors add up to 112476; without 72189 itself that is 40287, so 72189 is deficient (40287 is less than 72189). Euler's totient φ(72189) = 44352 numbers up to 72189 share no factor with it.
- 4
The digits of 72189 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72189 = 3^{2} \times 13 \times 617 \]72189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112476 |
| Euler totient φ(n) | 44352 |
| Square | 5211251721 |
| Cube | 376195050487269 |
| Square root | 268.680107 (= 3√8021) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.2189 × |
72189 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and eighty-nine |
| Binary (base 2) | 10001100111111101 |
| Octal (base 8) | 214775 |
| Hexadecimal (base 16) | 119FD |
| Base 3 | 10200000200 |
| As time | 72189 seconds = 20 h 3 min 9 s |
Is 72189 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 (72189 ÷ 3 = 24063) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72189 ÷ 9 = 8021) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72189 a prime number?
No. 72189 = × 13 × 617, so it is divisible by 3.
What are the factors of 72189?
1, 3, 9, 13, 39, 117, 617, 1851, 5553, 8021, 24063, 72189.
What is 72189 in binary?
10001100111111101 (hexadecimal 119FD, octal 214775).
What is the square root of 72189?
About 268.6801, exactly 3√8021.
Is 72189 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72189?
It is a composite number with 12 divisors.