75948 has 12 divisors (see below), whose sum is σ = 177240. Its totient is φ = 25312.

The previous prime is 75941. The next prime is 75967. The reversal of 75948 is 84957.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (75941) by changing a digit.

75948 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3153 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (14770).

2⁷⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

75948 is an abundant number, since it is smaller than the sum of its proper divisors (101292).

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 (88620).

75948 is a wasteful number, since it uses less digits than its factorization.

75948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6334 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 75948 is about 275.5866469915. The cubic root of 75948 is about 42.3485729881.

Subtracting 75948 from its reverse (84957), we obtain a palindrome (9009).

The spelling of 75948 in words is "seventy-five thousand, nine hundred forty-eight".