48075 has 12 divisors (see below), whose sum is σ = 79608. Its totient is φ = 25600.

The previous prime is 48073. The next prime is 48079. The reversal of 48075 is 57084.

It is not a de Polignac number, because 48075 - 2¹ = 48073 is a prime.

It is a super-3 number, since 3×48075³ = 333333631265625, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (6634).

2⁴⁸⁰⁷⁵ is an apocalyptic number.

48075 is a deficient number, since it is larger than the sum of its proper divisors (31533).

48075 is a wasteful number, since it uses less digits than its factorization.

48075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 48075 is about 219.2601194928. The cubic root of 48075 is about 36.3613303462.

Subtracting 48075 from its reverse (57084), we obtain a palindrome (9009).

It can be divided in two parts, 480 and 75, that added together give a palindrome (555).

The spelling of 48075 in words is "forty-eight thousand, seventy-five".