724812432 has 160 divisors (see below), whose sum is σ = 2039869440. Its totient is φ = 221168640.

The previous prime is 724812383. The next prime is 724812433. The reversal of 724812432 is 234218427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 724812393 and 724812402.

It is not an unprimeable number, because it can be changed into a prime (724812433) 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 31 ways as a sum of consecutive naturals, for example, 3032569 + ... + 3032807.

It is an arithmetic number, because the mean of its divisors is an integer number (12749184).

Almost surely, 2^724812432 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 724812432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019934720).

724812432 is an abundant number, since it is smaller than the sum of its proper divisors (1315057008).

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

724812432 is a wasteful number, since it uses less digits than its factorization.

724812432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 724812432 is about 26922.3407600454. The cubic root of 724812432 is about 898.2734107609.

The spelling of 724812432 in words is "seven hundred twenty-four million, eight hundred twelve thousand, four hundred thirty-two".