18405072 has 180 divisors, whose sum is σ = 64028640. Its totient is φ = 4821120.

The previous prime is 18405061. The next prime is 18405089. The reversal of 18405072 is 27050481.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 593697 + ... + 593727.

Almost surely, 2^18405072 is an apocalyptic number.

18405072 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 18405072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32014320).

18405072 is an abundant number, since it is smaller than the sum of its proper divisors (45623568).

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

18405072 is a wasteful number, since it uses less digits than its factorization.

18405072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18405072 is about 4290.1132852175. The cubic root of 18405072 is about 264.0254796344.

The spelling of 18405072 in words is "eighteen million, four hundred five thousand, seventy-two".