724112960 has 56 divisors (see below), whose sum is σ = 1825736760. Its totient is φ = 272605184.

The previous prime is 724112947. The next prime is 724112981. The reversal of 724112960 is 69211427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 214798336 + 509314624 = 14656^2 + 22568^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61115 + ... + 71994.

Almost surely, 2^724112960 is an apocalyptic number.

It is an amenable number.

724112960 is an abundant number, since it is smaller than the sum of its proper divisors (1101623800).

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

724112960 is a wasteful number, since it uses less digits than its factorization.

724112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133143 (or 133133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 724112960 is about 26909.3470749478. The cubic root of 724112960 is about 897.9843615777.

The spelling of 724112960 in words is "seven hundred twenty-four million, one hundred twelve thousand, nine hundred sixty".