18275200 has 48 divisors (see below), whose sum is σ = 45153360. Its totient is φ = 7308800.

The previous prime is 18275197. The next prime is 18275209. The reversal of 18275200 is 257281.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18275209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 345 + ... + 6055.

It is an arithmetic number, because the mean of its divisors is an integer number (940695).

Almost surely, 2^18275200 is an apocalyptic number.

18275200 is a gapful number since it is divisible by the number (10) 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 18275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22576680).

18275200 is an abundant number, since it is smaller than the sum of its proper divisors (26878160).

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

18275200 is an equidigital number, since it uses as much as digits as its factorization.

18275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 18275200 is about 4274.9502921087. The cubic root of 18275200 is about 263.4029974674.

The spelling of 18275200 in words is "eighteen million, two hundred seventy-five thousand, two hundred".