725696 has 56 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 315392.

The previous prime is 725687. The next prime is 725723. The reversal of 725696 is 696527.

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

Its product of digits (22680) is a multiple of the sum of its prime factors (81).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725696.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 25010 + ... + 25038.

2⁷²⁵⁶⁹⁶ 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 725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

725696 is an abundant number, since it is smaller than the sum of its proper divisors (920224).

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

725696 is a wasteful number, since it uses less digits than its factorization.

725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 725696 is about 851.8779255269. The cubic root of 725696 is about 89.8638269914.

The spelling of 725696 in words is "seven hundred twenty-five thousand, six hundred ninety-six".