71687 has 16 divisors (see below), whose sum is σ = 96000. Its totient is φ = 52920.

The previous prime is 71671. The next prime is 71693. The reversal of 71687 is 78617.

It is not a de Polignac number, because 71687 - 2⁴ = 71671 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

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 71687.

It is not an unprimeable number, because it can be changed into a prime (71647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3764 + ... + 3782.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2⁷¹⁶⁸⁷ is an apocalyptic number.

71687 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

71687 is a deficient number, since it is larger than the sum of its proper divisors (24313).

71687 is a wasteful number, since it uses less digits than its factorization.

71687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its digits is 2352, while the sum is 29.

The square root of 71687 is about 267.7442809847. The cubic root of 71687 is about 41.5413049828.

It can be divided in two parts, 7168 and 7, that multiplied together give a square (50176 = 224²).

The spelling of 71687 in words is "seventy-one thousand, six hundred eighty-seven".