725760306 has 48 divisors (see below), whose sum is σ = 1601383680. Its totient is φ = 237504960.

The previous prime is 725760257. The next prime is 725760353. The reversal of 725760306 is 603067527.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312891 + ... + 315201.

It is an arithmetic number, because the mean of its divisors is an integer number (33362160).

Almost surely, 2^725760306 is an apocalyptic number.

725760306 is an abundant number, since it is smaller than the sum of its proper divisors (875623374).

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

725760306 is a wasteful number, since it uses less digits than its factorization.

725760306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 725760306 is about 26939.9388640732. The cubic root of 725760306 is about 898.6648127666.

The spelling of 725760306 in words is "seven hundred twenty-five million, seven hundred sixty thousand, three hundred six".