66072565 has 32 divisors (see below), whose sum is σ = 89018496. Its totient is φ = 46759680.

The previous prime is 66072547. The next prime is 66072581. The reversal of 66072565 is 56527066.

It is not a de Polignac number, because 66072565 - 2⁷ = 66072437 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199450 + ... + 199780.

It is an arithmetic number, because the mean of its divisors is an integer number (2781828).

Almost surely, 2^66072565 is an apocalyptic number.

66072565 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66072565 is a deficient number, since it is larger than the sum of its proper divisors (22945931).

66072565 is a wasteful number, since it uses less digits than its factorization.

66072565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 66072565 is about 8128.5032447555. The cubic root of 66072565 is about 404.2720551802.

The spelling of 66072565 in words is "sixty-six million, seventy-two thousand, five hundred sixty-five".