12724824 has 32 divisors (see below), whose sum is σ = 36357120. Its totient is φ = 3635616.

The previous prime is 12724807. The next prime is 12724853. The reversal of 12724824 is 42842721.

It is a super-2 number, since 2×12724824² = 323842291661952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12724791 and 12724800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37704 + ... + 38039.

It is an arithmetic number, because the mean of its divisors is an integer number (1136160).

Almost surely, 2^12724824 is an apocalyptic number.

12724824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12724824 is an abundant number, since it is smaller than the sum of its proper divisors (23632296).

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

12724824 is a wasteful number, since it uses less digits than its factorization.

12724824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75759 (or 75755 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 12724824 is about 3567.1871271353. The cubic root of 12724824 is about 233.4625696765.

The spelling of 12724824 in words is "twelve million, seven hundred twenty-four thousand, eight hundred twenty-four".