66372705 has 72 divisors (see below), whose sum is σ = 138288384. Its totient is φ = 29332800.

The previous prime is 66372703. The next prime is 66372721. The reversal of 66372705 is 50727366.

It is a happy number.

66372705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66372705 - 2¹ = 66372703 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66372705.

It is not an unprimeable number, because it can be changed into a prime (66372701) 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 71 ways as a sum of consecutive naturals, for example, 67870 + ... + 68840.

It is an arithmetic number, because the mean of its divisors is an integer number (1920672).

Almost surely, 2^66372705 is an apocalyptic number.

It is an amenable number.

66372705 is an abundant number, since it is smaller than the sum of its proper divisors (71915679).

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

66372705 is a wasteful number, since it uses less digits than its factorization.

66372705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 66372705 is about 8146.9445192661. The cubic root of 66372705 is about 404.8832768340.

The spelling of 66372705 in words is "sixty-six million, three hundred seventy-two thousand, seven hundred five".