71638 has 24 divisors (see below), whose sum is σ = 135432. Its totient is φ = 28224.

The previous prime is 71633. The next prime is 71647. The reversal of 71638 is 83617.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1645 + ... + 1687.

It is an arithmetic number, because the mean of its divisors is an integer number (5643).

2⁷¹⁶³⁸ is an apocalyptic number.

71638 is a deficient number, since it is larger than the sum of its proper divisors (63794).

71638 is a wasteful number, since it uses less digits than its factorization.

71638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 69 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 71638 is about 267.6527601203. The cubic root of 71638 is about 41.5318379576.

The spelling of 71638 in words is "seventy-one thousand, six hundred thirty-eight".