724816720 has 80 divisors (see below), whose sum is σ = 1769708160. Its totient is φ = 275692032.

The previous prime is 724816681. The next prime is 724816727. The reversal of 724816720 is 27618427.

724816720 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 724816720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724816727) 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, 153109 + ... + 157771.

It is an arithmetic number, because the mean of its divisors is an integer number (22121352).

Almost surely, 2^724816720 is an apocalyptic number.

724816720 is the 15544-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724816720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884854080).

724816720 is an abundant number, since it is smaller than the sum of its proper divisors (1044891440).

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

724816720 is a wasteful number, since it uses less digits than its factorization.

724816720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 724816720 is about 26922.4203963908. The cubic root of 724816720 is about 898.2751821566.

The spelling of 724816720 in words is "seven hundred twenty-four million, eight hundred sixteen thousand, seven hundred twenty".