11272896 has 42 divisors (see below), whose sum is σ = 32313372. Its totient is φ = 3757440.

The previous prime is 11272843. The next prime is 11272897. The reversal of 11272896 is 69827211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11272896.

It is not an unprimeable number, because it can be changed into a prime (11272897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9210 + ... + 10361.

It is an arithmetic number, because the mean of its divisors is an integer number (769366).

Almost surely, 2^11272896 is an apocalyptic number.

11272896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11272896 is an abundant number, since it is smaller than the sum of its proper divisors (21040476).

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

11272896 is a wasteful number, since it uses less digits than its factorization.

11272896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19576 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11272896 is about 3357.5133655728. The cubic root of 11272896 is about 224.2221435702. Note that the first 3 decimals are identical.

The spelling of 11272896 in words is "eleven million, two hundred seventy-two thousand, eight hundred ninety-six".