13766272 has 32 divisors (see below), whose sum is σ = 29538180. Its totient is φ = 6352896.

The previous prime is 13766251. The next prime is 13766281. The reversal of 13766272 is 27266731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13719616 + 46656 = 3704^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2473 + ... + 5800.

Almost surely, 2^13766272 is an apocalyptic number.

It is an amenable number.

13766272 is an abundant number, since it is smaller than the sum of its proper divisors (15771908).

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

13766272 is an equidigital number, since it uses as much as digits as its factorization.

13766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8288 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 13766272 is about 3710.2927108248. The cubic root of 13766272 is about 239.6654598212.

The spelling of 13766272 in words is "thirteen million, seven hundred sixty-six thousand, two hundred seventy-two".