725406 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 211680.

The previous prime is 725399. The next prime is 725423. The reversal of 725406 is 604527.

It is a happy number.

725406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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 725406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2⁷²⁵⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

725406 is an abundant number, since it is smaller than the sum of its proper divisors (916194).

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

725406 is a wasteful number, since it uses less digits than its factorization.

725406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424.

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

The square root of 725406 is about 851.7076963372. The cubic root of 725406 is about 89.8518550445.

The spelling of 725406 in words is "seven hundred twenty-five thousand, four hundred six".