12687752 has 64 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 4818240.

The previous prime is 12687749. The next prime is 12687767. The reversal of 12687752 is 25778621.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26249 + ... + 26727.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 2^12687752 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 12687752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

12687752 is an abundant number, since it is smaller than the sum of its proper divisors (17725048).

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

12687752 is a wasteful number, since it uses less digits than its factorization.

12687752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 12687752 is about 3561.9870858834. The cubic root of 12687752 is about 233.2356289349.

It can be divided in two parts, 126 and 87752, that added together give a palindrome (87878).

The spelling of 12687752 in words is "twelve million, six hundred eighty-seven thousand, seven hundred fifty-two".