66772000 has 48 divisors (see below), whose sum is σ = 164068632. Its totient is φ = 26707200.

The previous prime is 66771989. The next prime is 66772001. The reversal of 66772000 is 27766.

It can be written as a sum of positive squares in 4 ways, for example, as 6492304 + 60279696 = 2548^2 + 7764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66772000.

It is not an unprimeable number, because it can be changed into a prime (66772001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4347 + ... + 12346.

Almost surely, 2^66772000 is an apocalyptic number.

It is an amenable number.

66772000 is an abundant number, since it is smaller than the sum of its proper divisors (97296632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66772000 is a wasteful number, since it uses less digits than its factorization.

66772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16700 counting only the distinct ones).

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

The square root of 66772000 is about 8171.4135863998. The cubic root of 66772000 is about 405.6935735357.

Adding to 66772000 its reverse (27766), we get a palindrome (66799766).

The spelling of 66772000 in words is "sixty-six million, seven hundred seventy-two thousand".