72186841818 has 160 divisors (see below), whose sum is σ = 205945407360. Its totient is φ = 18381686400.

The previous prime is 72186841781. The next prime is 72186841819. The reversal of 72186841818 is 81814868127.

72186841818 is a `hidden beast` number, since 7 + 218 + 6 + 8 + 418 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72186841819) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 343093 + ... + 511943.

It is an arithmetic number, because the mean of its divisors is an integer number (1287158796).

Almost surely, 2^72186841818 is an apocalyptic number.

72186841818 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72186841818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102972703680).

72186841818 is an abundant number, since it is smaller than the sum of its proper divisors (133758565542).

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

72186841818 is a wasteful number, since it uses less digits than its factorization.

72186841818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168914 (or 168905 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 54.

The spelling of 72186841818 in words is "seventy-two billion, one hundred eighty-six million, eight hundred forty-one thousand, eight hundred eighteen".