725382 has 64 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 194400.

The previous prime is 725381. The next prime is 725393. The reversal of 725382 is 283527.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 725382.

It is not an unprimeable number, because it can be changed into a prime (725381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7132 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2⁷²⁵³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

725382 is an abundant number, since it is smaller than the sum of its proper divisors (1233018).

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

725382 is a wasteful number, since it uses less digits than its factorization.

725382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 725382 is about 851.6936068798. The cubic root of 725382 is about 89.8508641197.

The spelling of 725382 in words is "seven hundred twenty-five thousand, three hundred eighty-two".