18000018000072 has 128 divisors (see below), whose sum is σ = 52237065369600. Its totient is φ = 5732195160384.

The previous prime is 18000018000043. The next prime is 18000018000073. The reversal of 18000018000072 is 27000081000081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18000018000073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917973 + ... + 6299099.

It is an arithmetic number, because the mean of its divisors is an integer number (408102073200).

Almost surely, 2^{18000018000072} is an apocalyptic number.

18000018000072 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 18000018000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26118532684800).

18000018000072 is an abundant number, since it is smaller than the sum of its proper divisors (34237047369528).

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

18000018000072 is a wasteful number, since it uses less digits than its factorization.

18000018000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381992 (or 4381982 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 18000018000072 in words is "eighteen trillion, eighteen million, seventy-two", and thus it is an aban number and an uban number.