18333072 has 60 divisors (see below), whose sum is σ = 54332460. Its totient is φ = 5750784.

The previous prime is 18333041. The next prime is 18333083. The reversal of 18333072 is 27033381.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 6471936 = 3444^2 + 2544^2 .

It is a super-2 number, since 2×18333072² = 672203057914368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297 + ... + 6192.

It is an arithmetic number, because the mean of its divisors is an integer number (905541).

Almost surely, 2^18333072 is an apocalyptic number.

18333072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18333072 is an abundant number, since it is smaller than the sum of its proper divisors (35999388).

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

18333072 is a wasteful number, since it uses less digits than its factorization.

18333072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 18333072 is about 4281.7136756210. The cubic root of 18333072 is about 263.6807435539.

The spelling of 18333072 in words is "eighteen million, three hundred thirty-three thousand, seventy-two".