72187 has 4 divisors (see below), whose sum is σ = 74176. Its totient is φ = 70200.

The previous prime is 72173. The next prime is 72211. The reversal of 72187 is 78127.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78127 = 7 ⋅11161.

It is a cyclic number.

It is not a de Polignac number, because 72187 - 2¹¹ = 70139 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

72187 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72167) 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 3 ways as a sum of consecutive naturals, for example, 939 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (18544).

2⁷²¹⁸⁷ is an apocalyptic number.

72187 is a deficient number, since it is larger than the sum of its proper divisors (1989).

72187 is a wasteful number, since it uses less digits than its factorization.

72187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988.

The product of its digits is 784, while the sum is 25.

The square root of 72187 is about 268.6763852667. The cubic root of 72187 is about 41.6376615914.

It can be divided in two parts, 7218 and 7, that added together give a square (7225 = 85²).

The spelling of 72187 in words is "seventy-two thousand, one hundred eighty-seven".