11166272 has 28 divisors (see below), whose sum is σ = 23864316. Its totient is φ = 5153280.

The previous prime is 11166271. The next prime is 11166277. The reversal of 11166272 is 27266111.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 4734976 = 2536^2 + 2176^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11166271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5879 + ... + 7542.

It is an arithmetic number, because the mean of its divisors is an integer number (852297).

Almost surely, 2^11166272 is an apocalyptic number.

It is an amenable number.

11166272 is an abundant number, since it is smaller than the sum of its proper divisors (12698044).

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

11166272 is a wasteful number, since it uses less digits than its factorization.

11166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13446 (or 13436 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 11166272 is about 3341.5972228861. The cubic root of 11166272 is about 223.5129724698.

The spelling of 11166272 in words is "eleven million, one hundred sixty-six thousand, two hundred seventy-two".