The number 73072
73072 is a composite number with 10 divisors. Its prime factorisation is × 4567. Divisors (10): 1, 2, 4, 8, 16, 4567, 9134, 18268, 36536, 73072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73072 is composite. Its prime factorisation is
- 3
The divisors add up to 141608; without 73072 itself that is 68536, so 73072 is deficient (68536 is less than 73072). Euler's totient φ(73072) = 36528 numbers up to 73072 share no factor with it.
- 4
The digits of 73072 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73072 = 2^{4} \times 4567 \]73072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 141608 |
| Euler totient φ(n) | 36528 |
| Square | 5339517184 |
| Cube | 390169199669248 |
| Square root | 270.318331 (= 4√4567) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3072 × |
73072 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and seventy-two |
| Binary (base 2) | 10001110101110000 |
| Octal (base 8) | 216560 |
| Hexadecimal (base 16) | 11D70 |
| Base 3 | 10201020101 |
| As time | 73072 seconds = 20 h 17 min 52 s |
Is 73072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73072 ÷ 2 = 36536) | 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 | Yes (73072 ÷ 4 = 18268) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (73072 ÷ 8 = 9134) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73072 a prime number?
No. 73072 = × 4567, so it is divisible by 2.
What are the factors of 73072?
1, 2, 4, 8, 16, 4567, 9134, 18268, 36536, 73072.
What is 73072 in binary?
10001110101110000 (hexadecimal 11D70, octal 216560).
What is the square root of 73072?
About 270.3183, exactly 4√4567.
Is 73072 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73072?
It is a composite number with 10 divisors.