73687 has 4 divisors (see below), whose sum is σ = 76096. Its totient is φ = 71280.

The previous prime is 73681. The next prime is 73693. The reversal of 73687 is 78637.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (73681) and next prime (73693).

It is a cyclic number.

It is not a de Polignac number, because 73687 - 2³ = 73679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 2377 = 73687 / (7 + 3 + 6 + 8 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73681) 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, 1158 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (19024).

2⁷³⁶⁸⁷ is an apocalyptic number.

73687 is a deficient number, since it is larger than the sum of its proper divisors (2409).

73687 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 73687 = (36787)₁₂.

73687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408.

The product of its digits is 7056, while the sum is 31.

The square root of 73687 is about 271.4534950963. The cubic root of 73687 is about 41.9240881232.

Subtracting 73687 from its reverse (78637), we obtain a triangular number (4950 = T₉₉).

The spelling of 73687 in words is "seventy-three thousand, six hundred eighty-seven".