186872 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 77280.

The previous prime is 186871. The next prime is 186877. The reversal of 186872 is 278681.

It is a super-2 number, since 2×186872² = 69842288768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186871) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2597 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹⁸⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

186872 is an abundant number, since it is smaller than the sum of its proper divisors (227848).

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

186872 is a wasteful number, since it uses less digits than its factorization.

186872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 186872 is about 432.2869417412. The cubic root of 186872 is about 57.1717401604.

Subtracting 186872 from its reverse (278681), we obtain a square (91809 = 303²).

The spelling of 186872 in words is "one hundred eighty-six thousand, eight hundred seventy-two".