725256 has 48 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 207072.

The previous prime is 725209. The next prime is 725273. The reversal of 725256 is 652527.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2⁷²⁵²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

725256 is an abundant number, since it is smaller than the sum of its proper divisors (1521144).

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

725256 is a wasteful number, since it uses less digits than its factorization.

725256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1451 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 725256 is about 851.6196334045. The cubic root of 725256 is about 89.8456614061.

The spelling of 725256 in words is "seven hundred twenty-five thousand, two hundred fifty-six".