71656 has 24 divisors (see below), whose sum is σ = 148230. Its totient is φ = 32448.

The previous prime is 71647. The next prime is 71663. The reversal of 71656 is 65617.

It can be written as a sum of positive squares in 3 ways, for example, as 44100 + 27556 = 210^2 + 166^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71656.

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, 1326 + ... + 1378.

2⁷¹⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74115).

71656 is an abundant number, since it is smaller than the sum of its proper divisors (76574).

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

71656 is a wasteful number, since it uses less digits than its factorization.

71656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 71656 is about 267.6863836657. The cubic root of 71656 is about 41.5353161418.

Subtracting from 71656 its sum of digits (25), we obtain a triangular number (71631 = T₃₇₈).

It can be divided in two parts, 71 and 656, that added together give a palindrome (727).

The spelling of 71656 in words is "seventy-one thousand, six hundred fifty-six".