66195072 has 96 divisors (see below), whose sum is σ = 195757380. Its totient is φ = 21454848.

The previous prime is 66195071. The next prime is 66195089. The reversal of 66195072 is 27059166.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 576 = 8136^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (66195071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41848 + ... + 43400.

Almost surely, 2^66195072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97878690).

66195072 is an abundant number, since it is smaller than the sum of its proper divisors (129562308).

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

66195072 is a wasteful number, since it uses less digits than its factorization.

66195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 66195072 is about 8136.0353981531. The cubic root of 66195072 is about 404.5217583103.

The spelling of 66195072 in words is "sixty-six million, one hundred ninety-five thousand, seventy-two".