725888520 has 128 divisors (see below), whose sum is σ = 2765318400. Its totient is φ = 165915648.

The previous prime is 725888489. The next prime is 725888557. The reversal of 725888520 is 25888527.

725888520 is a `hidden beast` number, since 72 + 58 + 8 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40449 + ... + 55568.

It is an arithmetic number, because the mean of its divisors is an integer number (21604050).

Almost surely, 2^725888520 is an apocalyptic number.

725888520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

725888520 is an abundant number, since it is smaller than the sum of its proper divisors (2039429880).

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

725888520 is a wasteful number, since it uses less digits than its factorization.

725888520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96044 (or 96034 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 725888520 is about 26942.3183857663. The cubic root of 725888520 is about 898.7177295147.

The spelling of 725888520 in words is "seven hundred twenty-five million, eight hundred eighty-eight thousand, five hundred twenty".