725906832 has 160 divisors (see below), whose sum is σ = 2205287424. Its totient is φ = 201484800.

The previous prime is 725906821. The next prime is 725906843. The reversal of 725906832 is 238609527.

It is an interprime number because it is at equal distance from previous prime (725906821) and next prime (725906843).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192907 + ... + 2193237.

Almost surely, 2^725906832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725906832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102643712).

725906832 is an abundant number, since it is smaller than the sum of its proper divisors (1479380592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725906832 is a wasteful number, since it uses less digits than its factorization.

725906832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 725906832 is about 26942.6582207473. The cubic root of 725906832 is about 898.7252867728.

The spelling of 725906832 in words is "seven hundred twenty-five million, nine hundred six thousand, eight hundred thirty-two".