75767 has 2 divisors, whose sum is σ = 75768. Its totient is φ = 75766.

The previous prime is 75743. The next prime is 75773. The reversal of 75767 is 76757.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (76757) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75767 - 2⁶ = 75703 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37883 + 37884.

It is an arithmetic number, because the mean of its divisors is an integer number (37884).

2⁷⁵⁷⁶⁷ is an apocalyptic number.

75767 is a deficient number, since it is larger than the sum of its proper divisors (1).

75767 is an equidigital number, since it uses as much as digits as its factorization.

75767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10290, while the sum is 32.

The square root of 75767 is about 275.2580607357. The cubic root of 75767 is about 42.3149043861.

Subtracting 75767 from its reverse (76757), we obtain a triangular number (990 = T₄₄).

The spelling of 75767 in words is "seventy-five thousand, seven hundred sixty-seven".