72233056665616 has 240 divisors, whose sum is σ = 180733985909568. Its totient is φ = 27650018995200.

The previous prime is 72233056665577. The next prime is 72233056665629. The reversal of 72233056665616 is 61656665033227.

It is a super-2 number, since 2×72233056665616² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129279586 + ... + 129837118.

Almost surely, 2^{72233056665616} 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 72233056665616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90366992954784).

72233056665616 is an abundant number, since it is smaller than the sum of its proper divisors (108500929243952).

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

72233056665616 is a wasteful number, since it uses less digits than its factorization.

72233056665616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557830 (or 557817 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 58.

The spelling of 72233056665616 in words is "seventy-two trillion, two hundred thirty-three billion, fifty-six million, six hundred sixty-five thousand, six hundred sixteen".