72063406116 has 36 divisors (see below), whose sum is σ = 196172606812. Its totient is φ = 22173355584.

The previous prime is 72063406097. The next prime is 72063406157. The reversal of 72063406116 is 61160436027.

It is a happy number.

72063406116 is a `hidden beast` number, since 7 + 2 + 0 + 6 + 34 + 0 + 611 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29005496100 + 43057910016 = 170310^2 + 207504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76990351 + ... + 76991286.

Almost surely, 2^72063406116 is an apocalyptic number.

It is an amenable number.

72063406116 is an abundant number, since it is smaller than the sum of its proper divisors (124109200696).

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

72063406116 is a wasteful number, since it uses less digits than its factorization.

72063406116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153981660 (or 153981655 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72063406116 in words is "seventy-two billion, sixty-three million, four hundred six thousand, one hundred sixteen".