The number 72727
72727 is a palindromic prime: it reads the same backwards and is prime, the 7193rd prime number and a palindrome: it reads 72727 backwards too. Its only divisors are 1 and 72727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72727: a palindromic prime: it reads the same backwards and is prime; the 7193rd prime number; a palindrome: it reads 72727 backwards too.
- 2
72727 is prime, so its only factors are 1 and 72727. It is the 7193rd prime; the next prime is 72733 and the one before is 72719.
- 3
The divisors add up to 72728; without 72727 itself that is 1, so 72727 is deficient (1 is less than 72727). Euler's totient φ(72727) = 72726 numbers up to 72727 share no factor with it.
- 4
The digits of 72727 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
72727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72728 |
| Euler totient φ(n) | 72726 |
| Square | 5289216529 |
| Cube | 384668850504583 |
| Square root | 269.679439 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2727 × |
72727 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and twenty-seven |
| Binary (base 2) | 10001110000010111 |
| Octal (base 8) | 216027 |
| Hexadecimal (base 16) | 11C17 |
| Base 3 | 10200202121 |
| As time | 72727 seconds = 20 h 12 min 7 s |
Is 72727 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72727 a prime number?
Yes. 72727 is divisible only by 1 and itself.
What are the factors of 72727?
1, 72727.
What is 72727 in binary?
10001110000010111 (hexadecimal 11C17, octal 216027).
What is the square root of 72727?
About 269.6794.
Is 72727 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72727?
72727 is a palindromic prime: it reads the same backwards and is prime; the 7193rd prime number; a palindrome: it reads 72727 backwards too.