75007 has 4 divisors (see below), whose sum is σ = 75816. Its totient is φ = 74200.

The previous prime is 74959. The next prime is 75011. The reversal of 75007 is 70057.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 75007 - 2¹¹ = 72959 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75017) 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 3 ways as a sum of consecutive naturals, for example, 244 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (18954).

2⁷⁵⁰⁰⁷ is an apocalyptic number.

75007 is a deficient number, since it is larger than the sum of its proper divisors (809).

75007 is a wasteful number, since it uses less digits than its factorization.

75007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 245, while the sum is 19.

The square root of 75007 is about 273.8740586474. The cubic root of 75007 is about 42.1729452306.

Subtracting from 75007 its reverse (70057), we obtain a triangular number (4950 = T₉₉).

The spelling of 75007 in words is "seventy-five thousand, seven".