725429824 has 112 divisors (see below), whose sum is σ = 1690624000. Its totient is φ = 302455296.

The previous prime is 725429801. The next prime is 725429827. The reversal of 725429824 is 428924527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (725429827) 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, 3645277 + ... + 3645475.

Almost surely, 2^725429824 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 725429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845312000).

725429824 is an abundant number, since it is smaller than the sum of its proper divisors (965194176).

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

725429824 is a wasteful number, since it uses less digits than its factorization.

725429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 725429824 is about 26933.8044843279. The cubic root of 725429824 is about 898.5283868084.

The spelling of 725429824 in words is "seven hundred twenty-five million, four hundred twenty-nine thousand, eight hundred twenty-four".