18892272 has 80 divisors (see below), whose sum is σ = 56782080. Its totient is φ = 5300736.

The previous prime is 18892259. The next prime is 18892283. The reversal of 18892272 is 27229881.

It is a self number, because there is not a number n which added to its sum of digits gives 18892272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19348 + ... + 20300.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 2^18892272 is an apocalyptic number.

18892272 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 18892272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28391040).

18892272 is an abundant number, since it is smaller than the sum of its proper divisors (37889808).

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

18892272 is a wasteful number, since it uses less digits than its factorization.

18892272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 18892272 is about 4346.5241285423. The cubic root of 18892272 is about 266.3348901653.

The spelling of 18892272 in words is "eighteen million, eight hundred ninety-two thousand, two hundred seventy-two".