72112312512 has 168 divisors, whose sum is σ = 219818102400. Its totient is φ = 22523977728.

The previous prime is 72112312501. The next prime is 72112312513. The reversal of 72112312512 is 21521321127.

It is a happy number.

72112312512 is a `hidden beast` number, since 7 + 2 + 112 + 31 + 2 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (72112312513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226289 + ... + 2258447.

Almost surely, 2^72112312512 is an apocalyptic number.

72112312512 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 72112312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109909051200).

72112312512 is an abundant number, since it is smaller than the sum of its proper divisors (147705789888).

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

72112312512 is a wasteful number, since it uses less digits than its factorization.

72112312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32423 (or 32410 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

Adding to 72112312512 its reverse (21521321127), we get a palindrome (93633633639).

The spelling of 72112312512 in words is "seventy-two billion, one hundred twelve million, three hundred twelve thousand, five hundred twelve".