71856 has 30 divisors (see below), whose sum is σ = 201500. Its totient is φ = 23904.

The previous prime is 71849. The next prime is 71861. The reversal of 71856 is 65817.

71856 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106 + ... + 393.

2⁷¹⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

71856 is an abundant number, since it is smaller than the sum of its proper divisors (129644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71856 is a wasteful number, since it uses less digits than its factorization.

71856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71856 is about 268.0596948443. The cubic root of 71856 is about 41.5739234999.

Adding to 71856 its product of digits (1680), we get a triangular number (73536 = T₃₈₃).

The spelling of 71856 in words is "seventy-one thousand, eight hundred fifty-six".