66072735 has 24 divisors (see below), whose sum is σ = 114916464. Its totient is φ = 35118720.

The previous prime is 66072733. The next prime is 66072739. The reversal of 66072735 is 53727066.

It is a happy number.

It is not a de Polignac number, because 66072735 - 2¹ = 66072733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66072735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66072733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11740 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (4788186).

Almost surely, 2^66072735 is an apocalyptic number.

66072735 is a deficient number, since it is larger than the sum of its proper divisors (48843729).

66072735 is a wasteful number, since it uses less digits than its factorization.

66072735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5012 counting only the distinct ones).

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

The square root of 66072735 is about 8128.5137017784. The cubic root of 66072735 is about 404.2724019010.

The spelling of 66072735 in words is "sixty-six million, seventy-two thousand, seven hundred thirty-five".