The number 72073
72073 is the 7134th prime number. Its only divisors are 1 and 72073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72073: the 7134th prime number.
- 2
72073 is prime, so its only factors are 1 and 72073. It is the 7134th prime; the next prime is 72077 and the one before is 72053.
- 3
The divisors add up to 72074; without 72073 itself that is 1, so 72073 is deficient (1 is less than 72073). Euler's totient φ(72073) = 72072 numbers up to 72073 share no factor with it.
- 4
The digits of 72073 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
72073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72074 |
| Euler totient φ(n) | 72072 |
| Square | 5194517329 |
| Cube | 374384447453017 |
| Square root | 268.464150 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.2073 × |
72073 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and seventy-three |
| Binary (base 2) | 10001100110001001 |
| Octal (base 8) | 214611 |
| Hexadecimal (base 16) | 11989 |
| Base 3 | 10122212101 |
| As time | 72073 seconds = 20 h 1 min 13 s |
Is 72073 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72073 a prime number?
Yes. 72073 is divisible only by 1 and itself.
What are the factors of 72073?
1, 72073.
What is 72073 in binary?
10001100110001001 (hexadecimal 11989, octal 214611).
What is the square root of 72073?
About 268.4642.
Is 72073 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72073?
72073 is the 7134th prime number.