724395872 has 96 divisors (see below), whose sum is σ = 1536796800. Its totient is φ = 335462400.

The previous prime is 724395871. The next prime is 724395883. The reversal of 724395872 is 278593427.

It is a happy number.

724395872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (846720) is a multiple of the sum of its prime divisors (392).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724395871) 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, 3005672 + ... + 3005912.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2^724395872 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 724395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

724395872 is an abundant number, since it is smaller than the sum of its proper divisors (812400928).

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

724395872 is a wasteful number, since it uses less digits than its factorization.

724395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 724395872 is about 26914.6033223601. The cubic root of 724395872 is about 898.1012942880.

The spelling of 724395872 in words is "seven hundred twenty-four million, three hundred ninety-five thousand, eight hundred seventy-two".