18541872 has 120 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 5832000.

The previous prime is 18541867. The next prime is 18541889. The reversal of 18541872 is 27814581.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73747 + ... + 73997.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^18541872 is an apocalyptic number.

18541872 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 18541872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

18541872 is an abundant number, since it is smaller than the sum of its proper divisors (38329488).

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

18541872 is a wasteful number, since it uses less digits than its factorization.

18541872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 18541872 is about 4306.0274035357. The cubic root of 18541872 is about 264.6780093004.

The spelling of 18541872 in words is "eighteen million, five hundred forty-one thousand, eight hundred seventy-two".