75936 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 21504.

The previous prime is 75931. The next prime is 75937. The reversal of 75936 is 63957.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (75931) by changing a digit.

75936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 616 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁷⁵⁹³⁶ 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 75936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

75936 is an abundant number, since it is smaller than the sum of its proper divisors (153888).

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

75936 is a wasteful number, since it uses less digits than its factorization.

75936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 75936 is about 275.5648743944. The cubic root of 75936 is about 42.3463424723.

The spelling of 75936 in words is "seventy-five thousand, nine hundred thirty-six".