75707 has 2 divisors, whose sum is σ = 75708. Its totient is φ = 75706.

The previous prime is 75703. The next prime is 75709. The reversal of 75707 is 70757.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 75707 - 2² = 75703 is a prime.

It is a super-3 number, since 3×75707³ = 1301755333254729, which contains 333 as substring.

Together with 75709, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (75703) 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 as a sum of consecutive naturals, namely, 37853 + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (37854).

2⁷⁵⁷⁰⁷ is an apocalyptic number.

75707 is a deficient number, since it is larger than the sum of its proper divisors (1).

75707 is an equidigital number, since it uses as much as digits as its factorization.

75707 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1715, while the sum is 26.

The square root of 75707 is about 275.1490505163. The cubic root of 75707 is about 42.3037316911.

Subtracting from 75707 its reverse (70757), we obtain a triangular number (4950 = T₉₉).

The spelling of 75707 in words is "seventy-five thousand, seven hundred seven".