724721968 has 80 divisors (see below), whose sum is σ = 1560971520. Its totient is φ = 324403200.

The previous prime is 724721939. The next prime is 724721969. The reversal of 724721968 is 869127427.

It is not an unprimeable number, because it can be changed into a prime (724721969) 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, 513648 + ... + 515056.

It is an arithmetic number, because the mean of its divisors is an integer number (19512144).

Almost surely, 2^724721968 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 724721968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780485760).

724721968 is an abundant number, since it is smaller than the sum of its proper divisors (836249552).

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

724721968 is a wasteful number, since it uses less digits than its factorization.

724721968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 724721968 is about 26920.6606159656. The cubic root of 724721968 is about 898.2360379717.

The spelling of 724721968 in words is "seven hundred twenty-four million, seven hundred twenty-one thousand, nine hundred sixty-eight".