725288 has 16 divisors (see below), whose sum is σ = 1440180. Its totient is φ = 341248.

The previous prime is 725273. The next prime is 725293. The reversal of 725288 is 882527.

It can be written as a sum of positive squares in 2 ways, for example, as 550564 + 174724 = 742^2 + 418^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725288.

It is an unprimeable number.

725288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2531 + ... + 2802.

2⁷²⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

725288 is a deficient number, since it is larger than the sum of its proper divisors (714892).

725288 is a wasteful number, since it uses less digits than its factorization.

725288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5352 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 725288 is about 851.6384209276. The cubic root of 725288 is about 89.8469827873.

The spelling of 725288 in words is "seven hundred twenty-five thousand, two hundred eighty-eight".