272216106 has 32 divisors (see below), whose sum is σ = 605498880. Its totient is φ = 90652608.

The previous prime is 272216089. The next prime is 272216107. The reversal of 272216106 is 601612272.

272216106 is a `hidden beast` number, since 27 + 2 + 21 + 610 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 272216106.

It is not an unprimeable number, because it can be changed into a prime (272216107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83010 + ... + 86226.

It is an arithmetic number, because the mean of its divisors is an integer number (18921840).

Almost surely, 2^272216106 is an apocalyptic number.

272216106 is an abundant number, since it is smaller than the sum of its proper divisors (333282774).

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

272216106 is a wasteful number, since it uses less digits than its factorization.

272216106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 272216106 is about 16498.9728771218. The cubic root of 272216106 is about 648.0939078580.

Adding to 272216106 its reverse (601612272), we get a palindrome (873828378).

The spelling of 272216106 in words is "two hundred seventy-two million, two hundred sixteen thousand, one hundred six".