66272105 has 8 divisors (see below), whose sum is σ = 82269000. Its totient is φ = 51189376.

The previous prime is 66272093. The next prime is 66272111. The reversal of 66272105 is 50127266.

It can be written as a sum of positive squares in 4 ways, for example, as 8952064 + 57320041 = 2992^2 + 7571^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66272105 is a prime.

It is a super-2 number, since 2×66272105² = 8783983802262050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 228380 + ... + 228669.

It is an arithmetic number, because the mean of its divisors is an integer number (10283625).

Almost surely, 2^66272105 is an apocalyptic number.

It is an amenable number.

66272105 is a deficient number, since it is larger than the sum of its proper divisors (15996895).

66272105 is a wasteful number, since it uses less digits than its factorization.

66272105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457083.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 66272105 is about 8140.7680841552. The cubic root of 66272105 is about 404.6786151257.

The spelling of 66272105 in words is "sixty-six million, two hundred seventy-two thousand, one hundred five".