72687 has 4 divisors (see below), whose sum is σ = 96920. Its totient is φ = 48456.

The previous prime is 72679. The next prime is 72689. The reversal of 72687 is 78627.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78627 = 3 ⋅26209.

It is not a de Polignac number, because 72687 - 2³ = 72679 is a prime.

It is a D-number.

It is a Duffinian number.

72687 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72687.

It is not an unprimeable number, because it can be changed into a prime (72689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12112 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (24230).

2⁷²⁶⁸⁷ is an apocalyptic number.

72687 is a deficient number, since it is larger than the sum of its proper divisors (24233).

72687 is a wasteful number, since it uses less digits than its factorization.

72687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24232.

The product of its digits is 4704, while the sum is 30.

The square root of 72687 is about 269.6052670109. The cubic root of 72687 is about 41.7335742812.

The spelling of 72687 in words is "seventy-two thousand, six hundred eighty-seven".