18703872 has 200 divisors, whose sum is σ = 62386632. Its totient is φ = 5529600.

The previous prime is 18703849. The next prime is 18703877. The reversal of 18703872 is 27830781.

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 a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18703877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456172 + ... + 456212.

Almost surely, 2^18703872 is an apocalyptic number.

18703872 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 18703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193316).

18703872 is an abundant number, since it is smaller than the sum of its proper divisors (43682760).

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

18703872 is an equidigital number, since it uses as much as digits as its factorization.

18703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 18703872 is about 4324.7973362922. The cubic root of 18703872 is about 265.4466042195.

The spelling of 18703872 in words is "eighteen million, seven hundred three thousand, eight hundred seventy-two".