| Base | Representation |
|---|---|
| bin | 101011001101111… |
| … | …011101111000000 |
| 3 | 1212112100111221100 |
| 4 | 223031323233000 |
| 5 | 2441104312312 |
| 6 | 155540454400 |
| 7 | 23653005651 |
| oct | 5315735700 |
| 9 | 1775314840 |
| 10 | 725072832 |
| 11 | 342314a50 |
| 12 | 1829aa400 |
| 13 | b72aa7a3 |
| 14 | 6c423528 |
| 15 | 439c65dc |
| hex | 2b37bbc0 |
725072832 has 252 divisors, whose sum is σ = 2400382296. Its totient is φ = 207498240.
The previous prime is 725072783. The next prime is 725072833. The reversal of 725072832 is 238270527.
It is a happy number.
725072832 is a `hidden beast` number, since 72 + 507 + 2 + 83 + 2 = 666.
It is a super-2 number, since 2×7250728322 = 1051461223409000448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (725072833) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2287138 + ... + 2287454.
Almost surely, 2725072832 is an apocalyptic number.
725072832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 725072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200191148).
725072832 is an abundant number, since it is smaller than the sum of its proper divisors (1675309464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
725072832 is a wasteful number, since it uses less digits than its factorization.
725072832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 384 (or 352 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 36.
The square root of 725072832 is about 26927.1764579950. The cubic root of 725072832 is about 898.3809707215.
It can be divided in two parts, 725072 and 832, that added together give a square (725904 = 8522).
The spelling of 725072832 in words is "seven hundred twenty-five million, seventy-two thousand, eight hundred thirty-two".
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