18160272 has 120 divisors (see below), whose sum is σ = 55855800. Its totient is φ = 5474304.

The previous prime is 18160213. The next prime is 18160277. The reversal of 18160272 is 27206181.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 17842176 = 564^2 + 4224^2 .

It is a super-2 number, since 2×18160272² = 659590958227968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18160277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166554 + ... + 166662.

It is an arithmetic number, because the mean of its divisors is an integer number (465465).

Almost surely, 2^18160272 is an apocalyptic number.

18160272 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 18160272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27927900).

18160272 is an abundant number, since it is smaller than the sum of its proper divisors (37695528).

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

18160272 is a wasteful number, since it uses less digits than its factorization.

18160272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

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

The square root of 18160272 is about 4261.4870643943. The cubic root of 18160272 is about 262.8496782019.

The spelling of 18160272 in words is "eighteen million, one hundred sixty thousand, two hundred seventy-two".