724712768 has 56 divisors (see below), whose sum is σ = 1553154120. Its totient is φ = 333527040.

The previous prime is 724712713. The next prime is 724712777. The reversal of 724712768 is 867217427.

It can be written as a sum of positive squares in 4 ways, for example, as 85229824 + 639482944 = 9232^2 + 25288^2 .

It is a super-2 number, since 2×724712768² = 1050417192204443648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 349238 + ... + 351306.

It is an arithmetic number, because the mean of its divisors is an integer number (27734895).

Almost surely, 2^724712768 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 724712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776577060).

724712768 is an abundant number, since it is smaller than the sum of its proper divisors (828441352).

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

724712768 is a wasteful number, since it uses less digits than its factorization.

724712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2505 counting only the distinct ones).

The product of its digits is 263424, while the sum is 44.

The square root of 724712768 is about 26920.4897429449. The cubic root of 724712768 is about 898.2322370628.

The spelling of 724712768 in words is "seven hundred twenty-four million, seven hundred twelve thousand, seven hundred sixty-eight".