18872000 has 112 divisors (see below), whose sum is σ = 53571648. Its totient is φ = 6451200.

The previous prime is 18871999. The next prime is 18872003. The reversal of 18872000 is 27881.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (18872003) 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, 55832 + ... + 56168.

Almost surely, 2^18872000 is an apocalyptic number.

18872000 is a gapful number since it is divisible by the number (10) 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 18872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26785824).

18872000 is an abundant number, since it is smaller than the sum of its proper divisors (34699648).

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

18872000 is an equidigital number, since it uses as much as digits as its factorization.

18872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 18872000 is about 4344.1915243230. The cubic root of 18872000 is about 266.2395941770.

Adding to 18872000 its reverse (27881), we get a palindrome (18899881).

The spelling of 18872000 in words is "eighteen million, eight hundred seventy-two thousand".