72106232112 has 120 divisors (see below), whose sum is σ = 212532044400. Its totient is φ = 22758188544.

The previous prime is 72106232027. The next prime is 72106232147. The reversal of 72106232112 is 21123260127.

72106232112 is a `hidden beast` number, since 7 + 2 + 1 + 0 + 623 + 21 + 12 = 666.

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 23 ways as a sum of consecutive naturals, for example, 6048814 + ... + 6060722.

It is an arithmetic number, because the mean of its divisors is an integer number (1771100370).

Almost surely, 2^72106232112 is an apocalyptic number.

72106232112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72106232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106266022200).

72106232112 is an abundant number, since it is smaller than the sum of its proper divisors (140425812288).

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

72106232112 is a wasteful number, since it uses less digits than its factorization.

72106232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14155 (or 14146 counting only the distinct ones).

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

Adding to 72106232112 its reverse (21123260127), we get a palindrome (93229492239).

The spelling of 72106232112 in words is "seventy-two billion, one hundred six million, two hundred thirty-two thousand, one hundred twelve".