75096 has 48 divisors (see below), whose sum is σ = 234000. Its totient is φ = 21312.

The previous prime is 75083. The next prime is 75109. The reversal of 75096 is 69057.

75096 = T₁₃₃ + T₁₃₄ + ... + T₁₄₀.

It is an interprime number because it is at equal distance from previous prime (75083) and next prime (75109).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 430 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (4875).

2⁷⁵⁰⁹⁶ 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 75096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117000).

75096 is an abundant number, since it is smaller than the sum of its proper divisors (158904).

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

75096 is a wasteful number, since it uses less digits than its factorization.

75096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 75096 is about 274.0364939201. The cubic root of 75096 is about 42.1896188236.

It can be divided in two parts, 7509 and 6, that multiplied together give a palindrome (45054).

The spelling of 75096 in words is "seventy-five thousand, ninety-six".