18836272 has 80 divisors (see below), whose sum is σ = 47621952. Its totient is φ = 7004160.

The previous prime is 18836249. The next prime is 18836297. The reversal of 18836272 is 27263881.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24372 + ... + 25132.

Almost surely, 2^18836272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18836272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976).

18836272 is an abundant number, since it is smaller than the sum of its proper divisors (28785680).

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

18836272 is a wasteful number, since it uses less digits than its factorization.

18836272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 18836272 is about 4340.0774186643. The cubic root of 18836272 is about 266.0714753183.

The spelling of 18836272 in words is "eighteen million, eight hundred thirty-six thousand, two hundred seventy-two".