66772 has 6 divisors (see below), whose sum is σ = 116858. Its totient is φ = 33384.

The previous prime is 66763. The next prime is 66791. The reversal of 66772 is 27766.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 24336 = 206^2 + 156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66772.

It is a congruent number.

It is an unprimeable number.

66772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8343 + ... + 8350.

2⁶⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

66772 is a deficient number, since it is larger than the sum of its proper divisors (50086).

66772 is a wasteful number, since it uses less digits than its factorization.

66772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16697 (or 16695 counting only the distinct ones).

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

The square root of 66772 is about 258.4027863627. The cubic root of 66772 is about 40.5693573536.

It can be divided in two parts, 66 and 772, that added together give a palindrome (838).

The spelling of 66772 in words is "sixty-six thousand, seven hundred seventy-two".