66272733 has 12 divisors (see below), whose sum is σ = 95812860. Its totient is φ = 44142336.

The previous prime is 66272719. The next prime is 66272797. The reversal of 66272733 is 33727266.

66272733 is a `hidden beast` number, since 6 + 627 + 27 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20548089 + 45724644 = 4533^2 + 6762^2 .

It is not a de Polignac number, because 66272733 - 2⁶ = 66272669 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66272033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10285 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (7984405).

Almost surely, 2^66272733 is an apocalyptic number.

It is an amenable number.

66272733 is a deficient number, since it is larger than the sum of its proper divisors (29540127).

66272733 is a wasteful number, since it uses less digits than its factorization.

66272733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6585 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 66272733 is about 8140.8066553628. The cubic root of 66272733 is about 404.6798933778.

Adding to 66272733 its reverse (33727266), we get a palindrome (99999999).

The spelling of 66272733 in words is "sixty-six million, two hundred seventy-two thousand, seven hundred thirty-three".