724909952 has 192 divisors, whose sum is σ = 1720258560. Its totient is φ = 303114240.

The previous prime is 724909951. The next prime is 724909987. The reversal of 724909952 is 259909427.

724909952 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 (47).

It is a junction number, because it is equal to n+sod(n) for n = 724909897 and 724909906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724909951) 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, 15423593 + ... + 15423639.

It is an arithmetic number, because the mean of its divisors is an integer number (8959680).

Almost surely, 2^724909952 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 724909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860129280).

724909952 is an abundant number, since it is smaller than the sum of its proper divisors (995348608).

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

724909952 is a wasteful number, since it uses less digits than its factorization.

724909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 724909952 is about 26924.1518343661. The cubic root of 724909952 is about 898.3136950656.

The spelling of 724909952 in words is "seven hundred twenty-four million, nine hundred nine thousand, nine hundred fifty-two".