725424 has 80 divisors (see below), whose sum is σ = 2285568. Its totient is φ = 193536.

The previous prime is 725423. The next prime is 725437. The reversal of 725424 is 424527.

It is a super-3 number, since 3×725424³ = 1145241333267075072, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 725394 and 725403.

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 725424.

It is not an unprimeable number, because it can be changed into a prime (725423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5649 + ... + 5775.

2⁷²⁵⁴²⁴ 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 725424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784).

725424 is an abundant number, since it is smaller than the sum of its proper divisors (1560144).

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

725424 is a wasteful number, since it uses less digits than its factorization.

725424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 725424 is about 851.7182632772. The cubic root of 725424 is about 89.8525982237.

The spelling of 725424 in words is "seven hundred twenty-five thousand, four hundred twenty-four".