725888 has 32 divisors (see below), whose sum is σ = 1487160. Its totient is φ = 352768.

The previous prime is 725867. The next prime is 725891. The reversal of 725888 is 888527.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6731 + ... + 6837.

2⁷²⁵⁸⁸⁸ 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 725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743580).

725888 is an abundant number, since it is smaller than the sum of its proper divisors (761272).

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

725888 is a wasteful number, since it uses less digits than its factorization.

725888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 725888 is about 851.9906102769. The cubic root of 725888 is about 89.8717514912.

The spelling of 725888 in words is "seven hundred twenty-five thousand, eight hundred eighty-eight".