724052736 has 288 divisors, whose sum is σ = 2384121600. Its totient is φ = 214917120.

The previous prime is 724052713. The next prime is 724052761. The reversal of 724052736 is 637250427.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 724052736.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6766795 + ... + 6766901.

It is an arithmetic number, because the mean of its divisors is an integer number (8278200).

Almost surely, 2^724052736 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 724052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192060800).

724052736 is an abundant number, since it is smaller than the sum of its proper divisors (1660068864).

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

724052736 is a wasteful number, since it uses less digits than its factorization.

724052736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 724052736 is about 26908.2280353055. The cubic root of 724052736 is about 897.9594659640.

The spelling of 724052736 in words is "seven hundred twenty-four million, fifty-two thousand, seven hundred thirty-six".