724040320 has 96 divisors (see below), whose sum is σ = 1776792060. Its totient is φ = 282132480.

The previous prime is 724040287. The next prime is 724040329. The reversal of 724040320 is 23040427.

724040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2795584 + 721244736 = 1672^2 + 26856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 724040291 and 724040300.

It is not an unprimeable number, because it can be changed into a prime (724040329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075504 + ... + 1076176.

Almost surely, 2^724040320 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 724040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888396030).

724040320 is an abundant number, since it is smaller than the sum of its proper divisors (1052751740).

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

724040320 is an equidigital number, since it uses as much as digits as its factorization.

724040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 724040320 is about 26907.9973242157. The cubic root of 724040320 is about 897.9543332217.

Adding to 724040320 its reverse (23040427), we get a palindrome (747080747).

The spelling of 724040320 in words is "seven hundred twenty-four million, forty thousand, three hundred twenty".