75856 has 20 divisors (see below), whose sum is σ = 160704. Its totient is φ = 34400.

The previous prime is 75853. The next prime is 75869. The reversal of 75856 is 65857.

75856 = T₁₁ + T₁₂ + ... + T₇₆.

It is a pancake number, because a pancake can be divided into 75856 parts by 389 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 391.

2⁷⁵⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

75856 is an abundant number, since it is smaller than the sum of its proper divisors (84848).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

75856 is a wasteful number, since it uses less digits than its factorization.

75856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 75856 is about 275.4196797616. The cubic root of 75856 is about 42.3314663584.

Subtracting from 75856 its reverse (65857), we obtain a palindrome (9999).

The spelling of 75856 in words is "seventy-five thousand, eight hundred fifty-six".