75048 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 24128.

The previous prime is 75041. The next prime is 75079. The reversal of 75048 is 84057.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (75041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷⁵⁰⁴⁸ 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 75048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

75048 is an abundant number, since it is smaller than the sum of its proper divisors (119352).

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

75048 is a wasteful number, since it uses less digits than its factorization.

75048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

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

The square root of 75048 is about 273.9489003446. The cubic root of 75048 is about 42.1806279616.

Subtracting 75048 from its reverse (84057), we obtain a palindrome (9009).

The spelling of 75048 in words is "seventy-five thousand, forty-eight".