724609728 has 168 divisors, whose sum is σ = 2166798816. Its totient is φ = 231321600.

The previous prime is 724609723. The next prime is 724609759. The reversal of 724609728 is 827906427.

It is not an unprimeable number, because it can be changed into a prime (724609723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440325 + ... + 1440827.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612).

Almost surely, 2^724609728 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 724609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083399408).

724609728 is an abundant number, since it is smaller than the sum of its proper divisors (1442189088).

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

724609728 is a wasteful number, since it uses less digits than its factorization.

724609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 724609728 is about 26918.5758910088. The cubic root of 724609728 is about 898.1896646853.

The spelling of 724609728 in words is "seven hundred twenty-four million, six hundred nine thousand, seven hundred twenty-eight".