725314688 has 64 divisors (see below), whose sum is σ = 1704721920. Its totient is φ = 300810240.

The previous prime is 725314609. The next prime is 725314717. The reversal of 725314688 is 886413527.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14720 + ... + 40832.

It is an arithmetic number, because the mean of its divisors is an integer number (26636280).

Almost surely, 2^725314688 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 725314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852360960).

725314688 is an abundant number, since it is smaller than the sum of its proper divisors (979407232).

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

725314688 is a wasteful number, since it uses less digits than its factorization.

725314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26165 (or 26153 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 725314688 is about 26931.6670111599. The cubic root of 725314688 is about 898.4808478944.

The spelling of 725314688 in words is "seven hundred twenty-five million, three hundred fourteen thousand, six hundred eighty-eight".