18106272 has 36 divisors (see below), whose sum is σ = 51490530. Its totient is φ = 6035328.

The previous prime is 18106271. The next prime is 18106289. The reversal of 18106272 is 27260181.

It can be written as a sum of positive squares in only one way, i.e., 17338896 + 767376 = 4164^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (18106271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31147 + ... + 31722.

Almost surely, 2^18106272 is an apocalyptic number.

18106272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18106272 is an abundant number, since it is smaller than the sum of its proper divisors (33384258).

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

18106272 is a wasteful number, since it uses less digits than its factorization.

18106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62885 (or 62874 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18106272 is about 4255.1465309669. The cubic root of 18106272 is about 262.5888896241.

The spelling of 18106272 in words is "eighteen million, one hundred six thousand, two hundred seventy-two".