725712 has 40 divisors (see below), whose sum is σ = 2020704. Its totient is φ = 223104.

The previous prime is 725687. The next prime is 725723. The reversal of 725712 is 217527.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 725712.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 1205.

2⁷²⁵⁷¹² 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 725712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010352).

725712 is an abundant number, since it is smaller than the sum of its proper divisors (1294992).

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

725712 is a wasteful number, since it uses less digits than its factorization.

725712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 725712 is about 851.8873164920. The cubic root of 725712 is about 89.8644874198.

The spelling of 725712 in words is "seven hundred twenty-five thousand, seven hundred twelve".