18195072 has 96 divisors (see below), whose sum is σ = 56279520. Its totient is φ = 5193216.

The previous prime is 18195041. The next prime is 18195077. The reversal of 18195072 is 27059181.

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

It is not an unprimeable number, because it can be changed into a prime (18195077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18333 + ... + 19299.

It is an arithmetic number, because the mean of its divisors is an integer number (586245).

Almost surely, 2^18195072 is an apocalyptic number.

18195072 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 18195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139760).

18195072 is an abundant number, since it is smaller than the sum of its proper divisors (38084448).

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

18195072 is an equidigital number, since it uses as much as digits as its factorization.

18195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 18195072 is about 4265.5681919294. The cubic root of 18195072 is about 263.0174681300.

The spelling of 18195072 in words is "eighteen million, one hundred ninety-five thousand, seventy-two".