72186114 has 192 divisors, whose sum is σ = 210978432. Its totient is φ = 16128000.

The previous prime is 72186091. The next prime is 72186137. The reversal of 72186114 is 41168127.

It is an interprime number because it is at equal distance from previous prime (72186091) and next prime (72186137).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 714664 + ... + 714764.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846).

Almost surely, 2^72186114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72186114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105489216).

72186114 is an abundant number, since it is smaller than the sum of its proper divisors (138792318).

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

72186114 is a wasteful number, since it uses less digits than its factorization.

72186114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 72186114 is about 8496.2411688935. The cubic root of 72186114 is about 416.3749124162.

The spelling of 72186114 in words is "seventy-two million, one hundred eighty-six thousand, one hundred fourteen".