725846520 has 64 divisors (see below), whose sum is σ = 2488619520. Its totient is φ = 165907584.

The previous prime is 725846509. The next prime is 725846533. The reversal of 725846520 is 25648527.

725846520 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-2 number, since 2×725846520² = 1053706341192220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 431212 + ... + 432891.

It is an arithmetic number, because the mean of its divisors is an integer number (38884680).

Almost surely, 2^725846520 is an apocalyptic number.

725846520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

725846520 is an abundant number, since it is smaller than the sum of its proper divisors (1762773000).

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

725846520 is a wasteful number, since it uses less digits than its factorization.

725846520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864124 (or 864120 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 725846520 is about 26941.5389315458. The cubic root of 725846520 is about 898.7003958739.

The spelling of 725846520 in words is "seven hundred twenty-five million, eight hundred forty-six thousand, five hundred twenty".