725634 has 48 divisors (see below), whose sum is σ = 1939392. Its totient is φ = 190944.

The previous prime is 725603. The next prime is 725639. The reversal of 725634 is 436527.

It is a happy number.

725634 is a `hidden beast` number, since 7 + 25 + 634 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 725598 and 725607.

It is not an unprimeable number, because it can be changed into a prime (725639) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1417 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (40404).

2⁷²⁵⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969696).

725634 is an abundant number, since it is smaller than the sum of its proper divisors (1213758).

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

725634 is a wasteful number, since it uses less digits than its factorization.

725634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 468 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 725634 is about 851.8415345591. The cubic root of 725634 is about 89.8612677398.

The spelling of 725634 in words is "seven hundred twenty-five thousand, six hundred thirty-four".