72766 has 4 divisors (see below), whose sum is σ = 109152. Its totient is φ = 36382.

The previous prime is 72763. The next prime is 72767. The reversal of 72766 is 66727.

72766 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 66727 = 53 ⋅1259.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18190 + ... + 18193.

It is an arithmetic number, because the mean of its divisors is an integer number (27288).

2⁷²⁷⁶⁶ is an apocalyptic number.

72766 is a deficient number, since it is larger than the sum of its proper divisors (36386).

72766 is a wasteful number, since it uses less digits than its factorization.

72766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36385.

The product of its digits is 3528, while the sum is 28.

The square root of 72766 is about 269.7517377145. The cubic root of 72766 is about 41.7486882110.

It can be divided in two parts, 72 and 766, that added together give a palindrome (838).

The spelling of 72766 in words is "seventy-two thousand, seven hundred sixty-six".