75079 has 2 divisors, whose sum is σ = 75080. Its totient is φ = 75078.

The previous prime is 75041. The next prime is 75083. The reversal of 75079 is 97057.

75079 is nontrivially palindromic in base 6.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 75079 - 2⁹ = 74567 is a prime.

It is a pancake number, because a pancake can be divided into 75079 parts by 387 straight cuts.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37539 + 37540.

It is an arithmetic number, because the mean of its divisors is an integer number (37540).

2⁷⁵⁰⁷⁹ is an apocalyptic number.

75079 is a deficient number, since it is larger than the sum of its proper divisors (1).

75079 is an equidigital number, since it uses as much as digits as its factorization.

75079 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 75079 is about 274.0054743979. The cubic root of 75079 is about 42.1864349983.

Adding to 75079 its product of nonzero digits (2205), we get a square (77284 = 278²).

It can be divided in two parts, 7 and 5079, that multiplied together give a palindrome (35553).

The spelling of 75079 in words is "seventy-five thousand, seventy-nine".