724567920 has 80 divisors (see below), whose sum is σ = 2268045312. Its totient is φ = 191335680.

The previous prime is 724567903. The next prime is 724567969. The reversal of 724567920 is 29765427.

It is a tau number, because it is divible by the number of its divisors (80).

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, 10065 + ... + 39375.

Almost surely, 2^724567920 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 724567920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134022656).

724567920 is an abundant number, since it is smaller than the sum of its proper divisors (1543477392).

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

724567920 is a wasteful number, since it uses less digits than its factorization.

724567920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29430 (or 29424 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 724567920 is about 26917.7993156944. The cubic root of 724567920 is about 898.1723899905.

The spelling of 724567920 in words is "seven hundred twenty-four million, five hundred sixty-seven thousand, nine hundred twenty".