725208960 has 128 divisors (see below), whose sum is σ = 2641881600. Its totient is φ = 165758976.

The previous prime is 725208949. The next prime is 725208973. The reversal of 725208960 is 69802527.

It is a happy number.

725208960 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13540 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (20639700).

Almost surely, 2^725208960 is an apocalyptic number.

725208960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

725208960 is an abundant number, since it is smaller than the sum of its proper divisors (1916672640).

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

725208960 is a wasteful number, since it uses less digits than its factorization.

725208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53988 (or 53976 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 725208960 is about 26929.7040459044. The cubic root of 725208960 is about 898.4371890519.

The spelling of 725208960 in words is "seven hundred twenty-five million, two hundred eight thousand, nine hundred sixty".