725504 has 40 divisors (see below), whose sum is σ = 1575420. Its totient is φ = 331776.

The previous prime is 725479. The next prime is 725507. The reversal of 725504 is 405527.

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 6400 = 848^2 + 80^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 725504.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725504.

It is not an unprimeable number, because it can be changed into a prime (725507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6602 + ... + 6710.

2⁷²⁵⁵⁰⁴ 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 725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787710).

725504 is an abundant number, since it is smaller than the sum of its proper divisors (849916).

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

725504 is a wasteful number, since it uses less digits than its factorization.

725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 725504 is about 851.7652258692. The cubic root of 725504 is about 89.8559010938.

Adding to 725504 its sum of digits (23), we get a palindrome (725527).

The spelling of 725504 in words is "seven hundred twenty-five thousand, five hundred four".