72186 has 16 divisors (see below), whose sum is σ = 147744. Its totient is φ = 23504.

The previous prime is 72173. The next prime is 72211. The reversal of 72186 is 68127.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (9234).

2⁷²¹⁸⁶ is an apocalyptic number.

72186 is an abundant number, since it is smaller than the sum of its proper divisors (75558).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872).

72186 is a wasteful number, since it uses less digits than its factorization.

72186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285.

The product of its digits is 672, while the sum is 24.

The square root of 72186 is about 268.6745242854. The cubic root of 72186 is about 41.6374693229.

The spelling of 72186 in words is "seventy-two thousand, one hundred eighty-six".