72704012216616 has 672 divisors, whose sum is σ = 227519115213600. Its totient is φ = 21752198265600.

The previous prime is 72704012216501. The next prime is 72704012216629. The reversal of 72704012216616 is 61661221040727.

72704012216616 is a `hidden beast` number, since 7 + 2 + 7 + 0 + 4 + 0 + 1 + 2 + 21 + 6 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24992783770 + ... + 24992786678.

It is an arithmetic number, because the mean of its divisors is an integer number (338570111925).

Almost surely, 2^{72704012216616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72704012216616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113759557606800).

72704012216616 is an abundant number, since it is smaller than the sum of its proper divisors (154815102996984).

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

72704012216616 is a wasteful number, since it uses less digits than its factorization.

72704012216616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72704012216616 in words is "seventy-two trillion, seven hundred four billion, twelve million, two hundred sixteen thousand, six hundred sixteen".