726558624 has 72 divisors (see below), whose sum is σ = 2253992832. Its totient is φ = 220168320.

The previous prime is 726558607. The next prime is 726558629. The reversal of 726558624 is 426855627.

726558624 is a `hidden beast` number, since 7 + 2 + 65 + 586 + 2 + 4 = 666.

726558624 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 726558624.

It is not an unprimeable number, because it can be changed into a prime (726558629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111504 + ... + 117839.

It is an arithmetic number, because the mean of its divisors is an integer number (31305456).

Almost surely, 2^726558624 is an apocalyptic number.

It is an amenable number.

726558624 is an abundant number, since it is smaller than the sum of its proper divisors (1527434208).

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

726558624 is a wasteful number, since it uses less digits than its factorization.

726558624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229370 (or 229359 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 726558624 is about 26954.7514178855. The cubic root of 726558624 is about 898.9941948884.

The spelling of 726558624 in words is "seven hundred twenty-six million, five hundred fifty-eight thousand, six hundred twenty-four".