724482720 has 288 divisors, whose sum is σ = 2689923600. Its totient is φ = 177555456.

The previous prime is 724482701. The next prime is 724482763. The reversal of 724482720 is 27284427.

724482720 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 8 ways, for example, as 11664 + 724471056 = 108^2 + 26916^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163566 + ... + 3163794.

Almost surely, 2^724482720 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 724482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344961800).

724482720 is an abundant number, since it is smaller than the sum of its proper divisors (1965440880).

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

724482720 is a wasteful number, since it uses less digits than its factorization.

724482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 724482720 is about 26916.2166732251. The cubic root of 724482720 is about 898.1371840491.

The spelling of 724482720 in words is "seven hundred twenty-four million, four hundred eighty-two thousand, seven hundred twenty".