18007272 has 96 divisors (see below), whose sum is σ = 51760800. Its totient is φ = 5863104.

The previous prime is 18007259. The next prime is 18007273. The reversal of 18007272 is 27270081.

It is a Harshad number since it is a multiple of its sum of digits (27).

18007272 is a modest number, since divided by 7272 gives 1800 as remainder.

It is not an unprimeable number, because it can be changed into a prime (18007273) 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, 114618 + ... + 114774.

It is an arithmetic number, because the mean of its divisors is an integer number (539175).

Almost surely, 2^18007272 is an apocalyptic number.

18007272 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 18007272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25880400).

18007272 is an abundant number, since it is smaller than the sum of its proper divisors (33753528).

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

18007272 is a wasteful number, since it uses less digits than its factorization.

18007272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 18007272 is about 4243.4976139972. The cubic root of 18007272 is about 262.1094273200.

The spelling of 18007272 in words is "eighteen million, seven thousand, two hundred seventy-two".