75766 has 8 divisors (see below), whose sum is σ = 116424. Its totient is φ = 36960.

The previous prime is 75743. The next prime is 75767. The reversal of 75766 is 66757.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75767) 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, 355 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2⁷⁵⁷⁶⁶ is an apocalyptic number.

75766 is a deficient number, since it is larger than the sum of its proper divisors (40658).

75766 is a wasteful number, since it uses less digits than its factorization.

75766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its digits is 8820, while the sum is 31.

The square root of 75766 is about 275.2562442525. The cubic root of 75766 is about 42.3147182229.

Subtracting from 75766 its reverse (66757), we obtain a palindrome (9009).

It can be divided in two parts, 75 and 766, that added together give a square (841 = 29²).

The spelling of 75766 in words is "seventy-five thousand, seven hundred sixty-six".