18072200 has 48 divisors (see below), whose sum is σ = 42454500. Its totient is φ = 7153920.

The previous prime is 18072161. The next prime is 18072209. The reversal of 18072200 is 227081.

It can be written as a sum of positive squares in 6 ways, for example, as 8988004 + 9084196 = 2998^2 + 3014^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (18072209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21386 + ... + 22214.

Almost surely, 2^18072200 is an apocalyptic number.

18072200 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 18072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227250).

18072200 is an abundant number, since it is smaller than the sum of its proper divisors (24382300).

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

18072200 is a wasteful number, since it uses less digits than its factorization.

18072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 18072200 is about 4251.1410233019. The cubic root of 18072200 is about 262.4240747914.

Adding to 18072200 its reverse (227081), we get a palindrome (18299281).

The spelling of 18072200 in words is "eighteen million, seventy-two thousand, two hundred".