75656 has 24 divisors (see below), whose sum is σ = 165870. Its totient is φ = 32256.

The previous prime is 75653. The next prime is 75659. The reversal of 75656 is 65657.

It is an interprime number because it is at equal distance from previous prime (75653) and next prime (75659).

It can be written as a sum of positive squares in only one way, i.e., 70756 + 4900 = 266^2 + 70^2 .

It is a plaindrome in base 16.

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 75656.

It is not an unprimeable number, because it can be changed into a prime (75653) 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 5 ways as a sum of consecutive naturals, for example, 296 + ... + 488.

2⁷⁵⁶⁵⁶ 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 75656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82935).

75656 is an abundant number, since it is smaller than the sum of its proper divisors (90214).

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

75656 is a wasteful number, since it uses less digits than its factorization.

75656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its digits is 6300, while the sum is 29.

The square root of 75656 is about 275.0563578614. The cubic root of 75656 is about 42.2942302581.

Subtracting from 75656 its reverse (65657), we obtain a palindrome (9999).

The spelling of 75656 in words is "seventy-five thousand, six hundred fifty-six".