725460 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 189952.

The previous prime is 725449. The next prime is 725479. The reversal of 725460 is 64527.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 725460.

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 725460.

It is an unprimeable number.

725460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6364 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁷²⁵⁴⁶⁰ 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 725460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

725460 is an abundant number, since it is smaller than the sum of its proper divisors (1342956).

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

725460 is a wasteful number, since it uses less digits than its factorization.

725460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 725460 is about 851.7393967641. The cubic root of 725460 is about 89.8540845453.

Adding to 725460 its reverse (64527), we get a palindrome (789987).

The spelling of 725460 in words is "seven hundred twenty-five thousand, four hundred sixty".