66346272 has 36 divisors (see below), whose sum is σ = 188673030. Its totient is φ = 22115328.

The previous prime is 66346253. The next prime is 66346289. The reversal of 66346272 is 27264366.

It is a happy number.

66346272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51322896 + 15023376 = 7164^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 114897 + ... + 115472.

Almost surely, 2^66346272 is an apocalyptic number.

It is an amenable number.

66346272 is an abundant number, since it is smaller than the sum of its proper divisors (122326758).

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

66346272 is a wasteful number, since it uses less digits than its factorization.

66346272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230385 (or 230374 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 66346272 is about 8145.3220930789. The cubic root of 66346272 is about 404.8295212994.

The spelling of 66346272 in words is "sixty-six million, three hundred forty-six thousand, two hundred seventy-two".