725400 has 144 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 172800.

The previous prime is 725399. The next prime is 725423. The reversal of 725400 is 4527.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23385 + ... + 23415.

2⁷²⁵⁴⁰⁰ 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 725400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

725400 is an abundant number, since it is smaller than the sum of its proper divisors (1982760).

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

725400 is a wasteful number, since it uses less digits than its factorization.

725400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

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

The square root of 725400 is about 851.7041739947. The cubic root of 725400 is about 89.8516073153.

Adding to 725400 its reverse (4527), we get a palindrome (729927).

The spelling of 725400 in words is "seven hundred twenty-five thousand, four hundred".