724681296 has 160 divisors (see below), whose sum is σ = 2189859840. Its totient is φ = 229132800.

The previous prime is 724681291. The next prime is 724681301. The reversal of 724681296 is 692186427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (724681291) and next prime (724681301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724681291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709266 + ... + 710286.

It is an arithmetic number, because the mean of its divisors is an integer number (13686624).

Almost surely, 2^724681296 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 724681296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094929920).

724681296 is an abundant number, since it is smaller than the sum of its proper divisors (1465178544).

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

724681296 is a wasteful number, since it uses less digits than its factorization.

724681296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 724681296 is about 26919.9052004274. The cubic root of 724681296 is about 898.2192344060.

The spelling of 724681296 in words is "seven hundred twenty-four million, six hundred eighty-one thousand, two hundred ninety-six".