72218106 has 24 divisors (see below), whose sum is σ = 156658944. Its totient is φ = 24044040.

The previous prime is 72218099. The next prime is 72218119. The reversal of 72218106 is 60181227.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72218106.

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 11 ways as a sum of consecutive naturals, for example, 17721 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (6527456).

Almost surely, 2^72218106 is an apocalyptic number.

72218106 is an abundant number, since it is smaller than the sum of its proper divisors (84440838).

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

72218106 is a wasteful number, since it uses less digits than its factorization.

72218106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 72218106 is about 8498.1236752591. The cubic root of 72218106 is about 416.4364140822.

The spelling of 72218106 in words is "seventy-two million, two hundred eighteen thousand, one hundred six".