18132192 has 144 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 5354496.

The previous prime is 18132187. The next prime is 18132199. The reversal of 18132192 is 29123181.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18132199) 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, 108493 + ... + 108659.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 2^18132192 is an apocalyptic number.

18132192 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 18132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

18132192 is an abundant number, since it is smaller than the sum of its proper divisors (39656448).

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

18132192 is a wasteful number, since it uses less digits than its factorization.

18132192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 18132192 is about 4258.1911652719. The cubic root of 18132192 is about 262.7141327580.

It can be divided in two parts, 1813 and 2192, that added together give a triangular number (4005 = T₈₉).

The spelling of 18132192 in words is "eighteen million, one hundred thirty-two thousand, one hundred ninety-two".