724995264 has 112 divisors (see below), whose sum is σ = 2263095296. Its totient is φ = 200448000.

The previous prime is 724995247. The next prime is 724995269. The reversal of 724995264 is 462599427.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (724995269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32964 + ... + 50364.

It is an arithmetic number, because the mean of its divisors is an integer number (20206208).

Almost surely, 2^724995264 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 724995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131547648).

724995264 is an abundant number, since it is smaller than the sum of its proper divisors (1538100032).

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

724995264 is a wasteful number, since it uses less digits than its factorization.

724995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17444 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 724995264 is about 26925.7360902167. The cubic root of 724995264 is about 898.3489334340.

The spelling of 724995264 in words is "seven hundred twenty-four million, nine hundred ninety-five thousand, two hundred sixty-four".