724872456 has 256 divisors, whose sum is σ = 2574028800. Its totient is φ = 183513600.

The previous prime is 724872437. The next prime is 724872481. The reversal of 724872456 is 654278427.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 681381 + ... + 682443.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^724872456 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 724872456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

724872456 is an abundant number, since it is smaller than the sum of its proper divisors (1849156344).

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

724872456 is a wasteful number, since it uses less digits than its factorization.

724872456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1127 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 724872456 is about 26923.4554988768. The cubic root of 724872456 is about 898.2982063598.

The spelling of 724872456 in words is "seven hundred twenty-four million, eight hundred seventy-two thousand, four hundred fifty-six".