12736512 has 72 divisors (see below), whose sum is σ = 36838620. Its totient is φ = 4239360.

The previous prime is 12736489. The next prime is 12736543. The reversal of 12736512 is 21563721.

It is a happy number.

12736512 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12736512² = 324437475852288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18087 + ... + 18777.

Almost surely, 2^12736512 is an apocalyptic number.

12736512 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 12736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419310).

12736512 is an abundant number, since it is smaller than the sum of its proper divisors (24102108).

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

12736512 is an equidigital number, since it uses as much as digits as its factorization.

12736512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 696 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12736512 is about 3568.8250167247. The cubic root of 12736512 is about 233.5340277829.

The spelling of 12736512 in words is "twelve million, seven hundred thirty-six thousand, five hundred twelve".