724368960 has 672 divisors, whose sum is σ = 3127248000. Its totient is φ = 157151232.

The previous prime is 724368941. The next prime is 724368973. The reversal of 724368960 is 69863427.

724368960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×724368960² = 1049420780422963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12277411 + ... + 12277469.

Almost surely, 2^724368960 is an apocalyptic number.

724368960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563624000).

724368960 is an abundant number, since it is smaller than the sum of its proper divisors (2402879040).

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

724368960 is a wasteful number, since it uses less digits than its factorization.

724368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 724368960 is about 26914.1033660793. The cubic root of 724368960 is about 898.0901723760.

The spelling of 724368960 in words is "seven hundred twenty-four million, three hundred sixty-eight thousand, nine hundred sixty".