12768072 has 64 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 4092480.

The previous prime is 12768047. The next prime is 12768089. The reversal of 12768072 is 27086721.

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, 100473 + ... + 100599.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 2^12768072 is an apocalyptic number.

12768072 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 12768072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

12768072 is an abundant number, since it is smaller than the sum of its proper divisors (20409528).

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

12768072 is a wasteful number, since it uses less digits than its factorization.

12768072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12768072 is about 3573.2439043536. The cubic root of 12768072 is about 233.7267612041.

The spelling of 12768072 in words is "twelve million, seven hundred sixty-eight thousand, seventy-two".