18511872 has 96 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 5857280.

The previous prime is 18511859. The next prime is 18511903. The reversal of 18511872 is 27811581.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 141247 + ... + 141377.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^18511872 is an apocalyptic number.

18511872 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 18511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

18511872 is an abundant number, since it is smaller than the sum of its proper divisors (33379968).

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

18511872 is a wasteful number, since it uses less digits than its factorization.

18511872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its digits is 4480, while the sum is 33.

The square root of 18511872 is about 4302.5425041480. The cubic root of 18511872 is about 264.5351861357.

The spelling of 18511872 in words is "eighteen million, five hundred eleven thousand, eight hundred seventy-two".