18811072 has 56 divisors (see below), whose sum is σ = 43078400. Its totient is φ = 7983360.

The previous prime is 18811069. The next prime is 18811073. The reversal of 18811072 is 27011881.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 18811072.

It is not an unprimeable number, because it can be changed into a prime (18811073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89047 + ... + 89257.

Almost surely, 2^18811072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539200).

18811072 is an abundant number, since it is smaller than the sum of its proper divisors (24267328).

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

18811072 is a wasteful number, since it uses less digits than its factorization.

18811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 18811072 is about 4337.1732729971. The cubic root of 18811072 is about 265.9527682924.

The spelling of 18811072 in words is "eighteen million, eight hundred eleven thousand, seventy-two".