72106100112 has 40 divisors (see below), whose sum is σ = 186415479360. Its totient is φ = 24017123200.

The previous prime is 72106100041. The next prime is 72106100147. The reversal of 72106100112 is 21100160127.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 506139 + ... + 632762.

It is an arithmetic number, because the mean of its divisors is an integer number (4660386984).

Almost surely, 2^72106100112 is an apocalyptic number.

It is an amenable number.

72106100112 is an abundant number, since it is smaller than the sum of its proper divisors (114309379248).

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

72106100112 is a wasteful number, since it uses less digits than its factorization.

72106100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140231 (or 1140225 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 72106100112 its reverse (21100160127), we get a palindrome (93206260239).

The spelling of 72106100112 in words is "seventy-two billion, one hundred six million, one hundred thousand, one hundred twelve".