12724632 has 48 divisors (see below), whose sum is σ = 35580480. Its totient is φ = 4104000.

The previous prime is 12724627. The next prime is 12724651. The reversal of 12724632 is 23642721.

12724632 is a `hidden beast` number, since 1 + 2 + 7 + 24 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12724596 and 12724605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 5082.

It is an arithmetic number, because the mean of its divisors is an integer number (741260).

Almost surely, 2^12724632 is an apocalyptic number.

12724632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12724632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790240).

12724632 is an abundant number, since it is smaller than the sum of its proper divisors (22855848).

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

12724632 is a wasteful number, since it uses less digits than its factorization.

12724632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5737 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12724632 is about 3567.1602150730. The cubic root of 12724632 is about 233.4613954615.

The spelling of 12724632 in words is "twelve million, seven hundred twenty-four thousand, six hundred thirty-two".