12762672 has 80 divisors (see below), whose sum is σ = 36018528. Its totient is φ = 3870720.

The previous prime is 12762667. The next prime is 12762683. The reversal of 12762672 is 27626721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70422 + ... + 70602.

Almost surely, 2^12762672 is an apocalyptic number.

12762672 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 12762672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264).

12762672 is an abundant number, since it is smaller than the sum of its proper divisors (23255856).

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

12762672 is a wasteful number, since it uses less digits than its factorization.

12762672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 12762672 is about 3572.4882085180. The cubic root of 12762672 is about 233.6938065423.

The spelling of 12762672 in words is "twelve million, seven hundred sixty-two thousand, six hundred seventy-two".