18822272 has 48 divisors (see below), whose sum is σ = 43634070. Its totient is φ = 8064000.

The previous prime is 18822253. The next prime is 18822283. The reversal of 18822272 is 27222881.

It can be written as a sum of positive squares in only one way, i.e., 15808576 + 3013696 = 3976^2 + 1736^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4772 + ... + 7772.

Almost surely, 2^18822272 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 18822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817035).

18822272 is an abundant number, since it is smaller than the sum of its proper divisors (24811798).

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

18822272 is an equidigital number, since it uses as much as digits as its factorization.

18822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3010 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 18822272 is about 4338.4642444072. The cubic root of 18822272 is about 266.0055400508.

The spelling of 18822272 in words is "eighteen million, eight hundred twenty-two thousand, two hundred seventy-two".