71888 has 10 divisors (see below), whose sum is σ = 139314. Its totient is φ = 35936.

The previous prime is 71887. The next prime is 71899. The reversal of 71888 is 88817.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 64 = 268^2 + 8^2 .

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 71888.

It is not an unprimeable number, because it can be changed into a prime (71881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2231 + ... + 2262.

2⁷¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

71888 is a deficient number, since it is larger than the sum of its proper divisors (67426).

71888 is a wasteful number, since it uses less digits than its factorization.

71888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4495 counting only the distinct ones).

The product of its digits is 3584, while the sum is 32.

The square root of 71888 is about 268.1193763979. The cubic root of 71888 is about 41.5800940266.

It can be divided in two parts, 71 and 888, that added together give a palindrome (959).

The spelling of 71888 in words is "seventy-one thousand, eight hundred eighty-eight".