71889 has 8 divisors (see below), whose sum is σ = 99072. Its totient is φ = 46320.

The previous prime is 71887. The next prime is 71899. The reversal of 71889 is 98817.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71889 - 2¹ = 71887 is a prime.

It is a Curzon number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (12384).

2⁷¹⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

71889 is a deficient number, since it is larger than the sum of its proper divisors (27183).

71889 is a wasteful number, since it uses less digits than its factorization.

71889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its digits is 4032, while the sum is 33.

The square root of 71889 is about 268.1212412324. The cubic root of 71889 is about 41.5802868261.

The spelling of 71889 in words is "seventy-one thousand, eight hundred eighty-nine".