75001 has 4 divisors (see below), whose sum is σ = 75600. Its totient is φ = 74404.

The previous prime is 74959. The next prime is 75011. The reversal of 75001 is 10057.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10057 = 89 ⋅113.

It is a cyclic number.

It is not a de Polignac number, because 75001 - 2⁷ = 74873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁷⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

75001 is a deficient number, since it is larger than the sum of its proper divisors (599).

75001 is a wasteful number, since it uses less digits than its factorization.

75001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 75001 is about 273.8631044884. The cubic root of 75001 is about 42.1718206937.

Adding to 75001 its reverse (10057), we get a palindrome (85058).

The spelling of 75001 in words is "seventy-five thousand, one".