18736272 has 120 divisors (see below), whose sum is σ = 55968640. Its totient is φ = 6065280.

The previous prime is 18736271. The next prime is 18736273. The reversal of 18736272 is 27263781.

It is an interprime number because it is at equal distance from previous prime (18736271) and next prime (18736273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18736271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237129 + ... + 237207.

Almost surely, 2^18736272 is an apocalyptic number.

18736272 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 18736272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27984320).

18736272 is an abundant number, since it is smaller than the sum of its proper divisors (37232368).

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

18736272 is an equidigital number, since it uses as much as digits as its factorization.

18736272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 18736272 is about 4328.5415557668. The cubic root of 18736272 is about 265.5997901242.

The spelling of 18736272 in words is "eighteen million, seven hundred thirty-six thousand, two hundred seventy-two".