725956 has 24 divisors (see below), whose sum is σ = 1584576. Its totient is φ = 282720.

The previous prime is 725953. The next prime is 725981. The reversal of 725956 is 659527.

It is a super-2 number, since 2×725956² = 1054024227872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871 + ... + 1486.

It is an arithmetic number, because the mean of its divisors is an integer number (66024).

2⁷²⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

725956 is an abundant number, since it is smaller than the sum of its proper divisors (858620).

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

725956 is a wasteful number, since it uses less digits than its factorization.

725956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 725956 is about 852.0305158854. The cubic root of 725956 is about 89.8745577498.

It can be divided in two parts, 725 and 956, that added together give a square (1681 = 41²).

The spelling of 725956 in words is "seven hundred twenty-five thousand, nine hundred fifty-six".