18463872 has 64 divisors (see below), whose sum is σ = 56059200. Its totient is φ = 5274624.

The previous prime is 18463867. The next prime is 18463889. The reversal of 18463872 is 27836481.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18463872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (875925).

Almost surely, 2^18463872 is an apocalyptic number.

18463872 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 18463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029600).

18463872 is an abundant number, since it is smaller than the sum of its proper divisors (37595328).

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

18463872 is an equidigital number, since it uses as much as digits as its factorization.

18463872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6881 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 18463872 is about 4296.9607864164. The cubic root of 18463872 is about 264.3063477716.

The spelling of 18463872 in words is "eighteen million, four hundred sixty-three thousand, eight hundred seventy-two".