The number 72089
72089 is a twin prime (72089 and 72091 are both prime) and the 7136th prime number. Its only divisors are 1 and 72089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72089: a twin prime (72089 and 72091 are both prime); the 7136th prime number.
- 2
72089 is prime, so its only factors are 1 and 72089. It is the 7136th prime; the next prime is 72091 and the one before is 72077.
- 3
The divisors add up to 72090; without 72089 itself that is 1, so 72089 is deficient (1 is less than 72089). Euler's totient φ(72089) = 72088 numbers up to 72089 share no factor with it.
- 4
The digits of 72089 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
72089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72090 |
| Euler totient φ(n) | 72088 |
| Square | 5196823921 |
| Cube | 374633839640969 |
| Square root | 268.493948 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2089 × |
72089 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and eighty-nine |
| Binary (base 2) | 10001100110011001 |
| Octal (base 8) | 214631 |
| Hexadecimal (base 16) | 11999 |
| Base 3 | 10122212222 |
| As time | 72089 seconds = 20 h 1 min 29 s |
Is 72089 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72089 a prime number?
Yes. 72089 is divisible only by 1 and itself.
What are the factors of 72089?
1, 72089.
What is 72089 in binary?
10001100110011001 (hexadecimal 11999, octal 214631).
What is the square root of 72089?
About 268.4939.
Is 72089 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 72089?
72089 is a twin prime (72089 and 72091 are both prime); the 7136th prime number.