72105614112 has 96 divisors (see below), whose sum is σ = 223294869504. Its totient is φ = 19937030400.

The previous prime is 72105614093. The next prime is 72105614183. The reversal of 72105614112 is 21141650127.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72105614112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1709814 + ... + 1751477.

It is an arithmetic number, because the mean of its divisors is an integer number (2325988224).

Almost surely, 2^72105614112 is an apocalyptic number.

It is an amenable number.

72105614112 is an abundant number, since it is smaller than the sum of its proper divisors (151189255392).

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

72105614112 is a wasteful number, since it uses less digits than its factorization.

72105614112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461342 (or 3461334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 72105614112 in words is "seventy-two billion, one hundred five million, six hundred fourteen thousand, one hundred twelve".