The number 72040
72040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1801. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1801, 3602, 7204, 9005, 14408, 18010, 36020, 72040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72040 is composite. Its prime factorisation is
- 3
The divisors add up to 162180; without 72040 itself that is 90140, so 72040 is abundant (90140 is more than 72040). Euler's totient φ(72040) = 28800 numbers up to 72040 share no factor with it.
- 4
The digits of 72040 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72040 = 2^{3} \times 5 \times 1801 \]72040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 162180 |
| Euler totient φ(n) | 28800 |
| Square | 5189761600 |
| Cube | 373870425664000 |
| Square root | 268.402683 (= 2√18010) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.204 × |
72040 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and forty |
| Binary (base 2) | 10001100101101000 |
| Octal (base 8) | 214550 |
| Hexadecimal (base 16) | 11968 |
| Base 3 | 10122211011 |
| As time | 72040 seconds = 20 h 0 min 40 s |
Is 72040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72040 ÷ 2 = 36020) | 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 (72040 ÷ 4 = 18010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72040 ÷ 5 = 14408) | 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 3) | 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 (72040 ÷ 8 = 9005) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72040 ÷ 10 = 7204) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72040 a prime number?
No. 72040 = × 5 × 1801, so it is divisible by 2.
What are the factors of 72040?
1, 2, 4, 5, 8, 10, 20, 40, 1801, 3602, 7204, 9005, 14408, 18010, 36020, 72040.
What is 72040 in binary?
10001100101101000 (hexadecimal 11968, octal 214550).
What is the square root of 72040?
About 268.4027, exactly 2√18010.
Is 72040 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 72040?
It is a composite number with 16 divisors.