18505872 has 120 divisors (see below), whose sum is σ = 64608960. Its totient is φ = 4803840.

The previous prime is 18505871. The next prime is 18505891. The reversal of 18505872 is 27850581.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (18505871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10254 + ... + 11922.

It is an arithmetic number, because the mean of its divisors is an integer number (538408).

Almost surely, 2^18505872 is an apocalyptic number.

18505872 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 18505872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32304480).

18505872 is an abundant number, since it is smaller than the sum of its proper divisors (46103088).

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

18505872 is a wasteful number, since it uses less digits than its factorization.

18505872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 18505872 is about 4301.8451854989. The cubic root of 18505872 is about 264.5066029896.

The spelling of 18505872 in words is "eighteen million, five hundred five thousand, eight hundred seventy-two".