The number 72025
72025 is a composite number with 12 divisors. Its prime factorisation is × 43 × 67. Divisors (12): 1, 5, 25, 43, 67, 215, 335, 1075, 1675, 2881, 14405, 72025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72025: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72025 is composite. Its prime factorisation is
- 3
The divisors add up to 92752; without 72025 itself that is 20727, so 72025 is deficient (20727 is less than 72025). Euler's totient φ(72025) = 55440 numbers up to 72025 share no factor with it.
- 4
The digits of 72025 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72025 = 5^{2} \times 43 \times 67 \]72025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92752 |
| Euler totient φ(n) | 55440 |
| Square | 5187600625 |
| Cube | 373636935015625 |
| Square root | 268.374738 (= 5√2881) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2025 × |
72025 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and twenty-five |
| Binary (base 2) | 10001100101011001 |
| Octal (base 8) | 214531 |
| Hexadecimal (base 16) | 11959 |
| Base 3 | 10122210121 |
| As time | 72025 seconds = 20 h 0 min 25 s |
Is 72025 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 | Yes (72025 ÷ 5 = 14405) | 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 72025 a prime number?
No. 72025 = × 43 × 67, so it is divisible by 5.
What are the factors of 72025?
1, 5, 25, 43, 67, 215, 335, 1075, 1675, 2881, 14405, 72025.
What is 72025 in binary?
10001100101011001 (hexadecimal 11959, octal 214531).
What is the square root of 72025?
About 268.3747, exactly 5√2881.
Is 72025 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72025?
72025 is a happy number: repeatedly adding the squares of its digits reaches 1.