725582 has 32 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 292320.

The previous prime is 725579. The next prime is 725587. The reversal of 725582 is 285527.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725582.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12269 + ... + 12327.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁷²⁵⁵⁸² is an apocalyptic number.

725582 is a deficient number, since it is larger than the sum of its proper divisors (604978).

725582 is a wasteful number, since it uses less digits than its factorization.

725582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 5600, while the sum is 29.

The square root of 725582 is about 851.8110119035. The cubic root of 725582 is about 89.8591211583.

It can be divided in two parts, 7255 and 82, that added together give a palindrome (7337).

The spelling of 725582 in words is "seven hundred twenty-five thousand, five hundred eighty-two".