The number 72378
72378 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4021. Divisors (12): 1, 2, 3, 6, 9, 18, 4021, 8042, 12063, 24126, 36189, 72378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72378 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72378 is composite. Its prime factorisation is
- 3
The divisors add up to 156858; without 72378 itself that is 84480, so 72378 is abundant (84480 is more than 72378). Euler's totient φ(72378) = 24120 numbers up to 72378 share no factor with it.
- 4
The digits of 72378 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72378 = 2 \times 3^{2} \times 4021 \]72378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 156858 |
| Euler totient φ(n) | 24120 |
| Square | 5238574884 |
| Cube | 379157572954152 |
| Square root | 269.031597 (= 3√8042) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2378 × |
72378 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and seventy-eight |
| Binary (base 2) | 10001101010111010 |
| Octal (base 8) | 215272 |
| Hexadecimal (base 16) | 11ABA |
| Base 3 | 10200021200 |
| As time | 72378 seconds = 20 h 6 min 18 s |
Is 72378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72378 ÷ 2 = 36189) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72378 ÷ 3 = 24126) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (72378 ÷ 6 = 12063) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72378 ÷ 9 = 8042) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72378 a prime number?
No. 72378 = 2 × × 4021, so it is divisible by 2.
What are the factors of 72378?
1, 2, 3, 6, 9, 18, 4021, 8042, 12063, 24126, 36189, 72378.
What is 72378 in binary?
10001101010111010 (hexadecimal 11ABA, octal 215272).
What is the square root of 72378?
About 269.0316, exactly 3√8042.
Is 72378 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72378?
It is a composite number with 12 divisors.