72011010011112 has 192 divisors, whose sum is σ = 216194247884160. Its totient is φ = 22400030822400.

The previous prime is 72011010011041. The next prime is 72011010011119. The reversal of 72011010011112 is 21111001011027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72011010011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17807689 + ... + 21474072.

It is an arithmetic number, because the mean of its divisors is an integer number (1126011707730).

Almost surely, 2^{72011010011112} is an apocalyptic number.

72011010011112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72011010011112 is an abundant number, since it is smaller than the sum of its proper divisors (144183237873048).

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

72011010011112 is a wasteful number, since it uses less digits than its factorization.

72011010011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39281846 (or 39281830 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 18.

Adding to 72011010011112 its reverse (21111001011027), we get a palindrome (93122011022139).

The spelling of 72011010011112 in words is "seventy-two trillion, eleven billion, ten million, eleven thousand, one hundred twelve".