18262272 has 144 divisors (see below), whose sum is σ = 57559040. Its totient is φ = 5031936.

The previous prime is 18262271. The next prime is 18262289. The reversal of 18262272 is 27226281.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18262271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231129 + ... + 231207.

Almost surely, 2^18262272 is an apocalyptic number.

18262272 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 18262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28779520).

18262272 is an abundant number, since it is smaller than the sum of its proper divisors (39296768).

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

18262272 is an equidigital number, since it uses as much as digits as its factorization.

18262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 18262272 is about 4273.4379602376. The cubic root of 18262272 is about 263.3408717954.

The spelling of 18262272 in words is "eighteen million, two hundred sixty-two thousand, two hundred seventy-two".