18385272 has 64 divisors (see below), whose sum is σ = 52185600. Its totient is φ = 5994720.

The previous prime is 18385271. The next prime is 18385277. The reversal of 18385272 is 27258381.

18385272 is a `hidden beast` number, since 1 + 8 + 385 + 272 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18385271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9247 + ... + 11057.

It is an arithmetic number, because the mean of its divisors is an integer number (815400).

Almost surely, 2^18385272 is an apocalyptic number.

18385272 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 18385272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092800).

18385272 is an abundant number, since it is smaller than the sum of its proper divisors (33800328).

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

18385272 is a wasteful number, since it uses less digits than its factorization.

18385272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1863 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 18385272 is about 4287.8050328810. The cubic root of 18385272 is about 263.9307669694.

The spelling of 18385272 in words is "eighteen million, three hundred eighty-five thousand, two hundred seventy-two".