18322272 has 72 divisors (see below), whose sum is σ = 52658424. Its totient is φ = 6042624.

The previous prime is 18322267. The next prime is 18322303. The reversal of 18322272 is 27222381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 32263 + ... + 32825.

It is an arithmetic number, because the mean of its divisors is an integer number (731367).

Almost surely, 2^18322272 is an apocalyptic number.

18322272 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 18322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26329212).

18322272 is an abundant number, since it is smaller than the sum of its proper divisors (34336152).

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

18322272 is a wasteful number, since it uses less digits than its factorization.

18322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 18322272 is about 4280.4523125483. The cubic root of 18322272 is about 263.6289553354.

The spelling of 18322272 in words is "eighteen million, three hundred twenty-two thousand, two hundred seventy-two".