724509552 has 80 divisors (see below), whose sum is σ = 2085179040. Its totient is φ = 215233536.

The previous prime is 724509529. The next prime is 724509563. The reversal of 724509552 is 255905427.

724509552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 724509552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923 + ... + 38114.

It is an arithmetic number, because the mean of its divisors is an integer number (26064738).

Almost surely, 2^724509552 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 724509552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042589520).

724509552 is an abundant number, since it is smaller than the sum of its proper divisors (1360669488).

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

724509552 is a wasteful number, since it uses less digits than its factorization.

724509552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40090 (or 40084 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 724509552 is about 26916.7151041876. The cubic root of 724509552 is about 898.1482717391.

The spelling of 724509552 in words is "seven hundred twenty-four million, five hundred nine thousand, five hundred fifty-two".