725574600 has 72 divisors (see below), whose sum is σ = 2436727410. Its totient is φ = 193486080.

The previous prime is 725574599. The next prime is 725574601. The reversal of 725574600 is 6475527.

725574600 is a `hidden beast` number, since 7 + 25 + 574 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725574599) and next prime (725574601).

It can be written as a sum of positive squares in 3 ways, for example, as 522853956 + 202720644 = 22866^2 + 14238^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (725574601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199749 + ... + 203348.

Almost surely, 2^725574600 is an apocalyptic number.

It is an amenable number.

725574600 is an abundant number, since it is smaller than the sum of its proper divisors (1711152810).

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

725574600 is a wasteful number, since it uses less digits than its factorization.

725574600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403119 (or 403107 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 725574600 is about 26936.4919764991. The cubic root of 725574600 is about 898.5881567492.

The spelling of 725574600 in words is "seven hundred twenty-five million, five hundred seventy-four thousand, six hundred".