725004 has 72 divisors (see below), whose sum is σ = 2202480. Its totient is φ = 205632.

The previous prime is 724993. The next prime is 725009. The reversal of 725004 is 400527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (725009) by changing a digit.

725004 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 23 ways as a sum of consecutive naturals, for example, 5224 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (30590).

2⁷²⁵⁰⁰⁴ 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 725004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101240).

725004 is an abundant number, since it is smaller than the sum of its proper divisors (1477476).

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

725004 is a wasteful number, since it uses less digits than its factorization.

725004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 725004 is about 851.4716671740. The cubic root of 725004 is about 89.8352541708.

The spelling of 725004 in words is "seven hundred twenty-five thousand, four".