725534304 has 96 divisors (see below), whose sum is σ = 2187077760. Its totient is φ = 208281600.

The previous prime is 725534297. The next prime is 725534309. The reversal of 725534304 is 403435527.

725534304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725534309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 38144.

It is an arithmetic number, because the mean of its divisors is an integer number (22782060).

Almost surely, 2^725534304 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 725534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093538880).

725534304 is an abundant number, since it is smaller than the sum of its proper divisors (1461543456).

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

725534304 is a wasteful number, since it uses less digits than its factorization.

725534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204 (or 36196 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 725534304 is about 26935.7439845273. The cubic root of 725534304 is about 898.5715215754.

The spelling of 725534304 in words is "seven hundred twenty-five million, five hundred thirty-four thousand, three hundred four".