725162904 has 48 divisors (see below), whose sum is σ = 1976523120. Its totient is φ = 240177600.

The previous prime is 725162891. The next prime is 725162957. The reversal of 725162904 is 409261527.

725162904 is a `hidden beast` number, since 7 + 25 + 1 + 629 + 0 + 4 = 666.

725162904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×725162904³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20772 + ... + 43379.

It is an arithmetic number, because the mean of its divisors is an integer number (41177565).

Almost surely, 2^725162904 is an apocalyptic number.

It is an amenable number.

725162904 is an abundant number, since it is smaller than the sum of its proper divisors (1251360216).

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

725162904 is a wasteful number, since it uses less digits than its factorization.

725162904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64320 (or 64313 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 725162904 is about 26928.8489171000. The cubic root of 725162904 is about 898.4181695686.

The spelling of 725162904 in words is "seven hundred twenty-five million, one hundred sixty-two thousand, nine hundred four".