66065625 has 84 divisors (see below), whose sum is σ = 128077740. Its totient is φ = 34020000.

The previous prime is 66065617. The next prime is 66065627. The reversal of 66065625 is 52656066.

66065625 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 6 ways, for example, as 53934336 + 12131289 = 7344^2 + 3483^2 .

It is not a de Polignac number, because 66065625 - 2³ = 66065617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66065625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66065627) 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 83 ways as a sum of consecutive naturals, for example, 2278111 + ... + 2278139.

It is an arithmetic number, because the mean of its divisors is an integer number (1524735).

Almost surely, 2^66065625 is an apocalyptic number.

It is an amenable number.

66065625 is a deficient number, since it is larger than the sum of its proper divisors (62012115).

66065625 is an frugal number, since it uses more digits than its factorization.

66065625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66065625 is about 8128.0763406848. The cubic root of 66065625 is about 404.2579003072.

The spelling of 66065625 in words is "sixty-six million, sixty-five thousand, six hundred twenty-five".