725584 has 20 divisors (see below), whose sum is σ = 1422900. Its totient is φ = 358400.

The previous prime is 725579. The next prime is 725587. The reversal of 725584 is 485527.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 129600 = 772^2 + 360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1392 + ... + 1840.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

2⁷²⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

725584 is a deficient number, since it is larger than the sum of its proper divisors (697316).

725584 is a wasteful number, since it uses less digits than its factorization.

725584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its digits is 11200, while the sum is 31.

The square root of 725584 is about 851.8121858720. The cubic root of 725584 is about 89.8592037210.

The spelling of 725584 in words is "seven hundred twenty-five thousand, five hundred eighty-four".