18382272 has 56 divisors (see below), whose sum is σ = 51206400. Its totient is φ = 5803776.

The previous prime is 18382261. The next prime is 18382283. The reversal of 18382272 is 27228381.

It is an interprime number because it is at equal distance from previous prime (18382261) and next prime (18382283).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129 + ... + 6167.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^18382272 is an apocalyptic number.

18382272 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 18382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

18382272 is an abundant number, since it is smaller than the sum of its proper divisors (32824128).

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

18382272 is a wasteful number, since it uses less digits than its factorization.

18382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5063 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 18382272 is about 4287.4551892702. The cubic root of 18382272 is about 263.9164106345.

The spelling of 18382272 in words is "eighteen million, three hundred eighty-two thousand, two hundred seventy-two".