66735172 has 24 divisors (see below), whose sum is σ = 135354240. Its totient is φ = 28197120.

The previous prime is 66735169. The next prime is 66735173. The reversal of 66735172 is 27153766.

66735172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66735173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14797 + ... + 18772.

It is an arithmetic number, because the mean of its divisors is an integer number (5639760).

Almost surely, 2^66735172 is an apocalyptic number.

It is an amenable number.

66735172 is an abundant number, since it is smaller than the sum of its proper divisors (68619068).

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

66735172 is a wasteful number, since it uses less digits than its factorization.

66735172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33651 (or 33649 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 66735172 is about 8169.1598099193. The cubic root of 66735172 is about 405.6189732510.

The spelling of 66735172 in words is "sixty-six million, seven hundred thirty-five thousand, one hundred seventy-two".