75296 has 24 divisors (see below), whose sum is σ = 160524. Its totient is φ = 34560.

The previous prime is 75289. The next prime is 75307. The reversal of 75296 is 69257.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 19600 = 236^2 + 140^2 .

It is an unprimeable number.

75296 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 3 ways as a sum of consecutive naturals, for example, 326 + ... + 506.

2⁷⁵²⁹⁶ 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 75296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262).

75296 is an abundant number, since it is smaller than the sum of its proper divisors (85228).

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

75296 is a wasteful number, since it uses less digits than its factorization.

75296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 75296 is about 274.4011661783. The cubic root of 75296 is about 42.2270395653.

It can be divided in two parts, 752 and 96, that added together give a palindrome (848).

The spelling of 75296 in words is "seventy-five thousand, two hundred ninety-six".