72063383616 has 448 divisors, whose sum is σ = 265961164800. Its totient is φ = 18656428032.

The previous prime is 72063383611. The next prime is 72063383617. The reversal of 72063383616 is 61638336027.

72063383616 is a `hidden beast` number, since 7 + 2 + 0 + 633 + 8 + 3 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (72063383611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5279136 + ... + 5292768.

Almost surely, 2^72063383616 is an apocalyptic number.

72063383616 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72063383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132980582400).

72063383616 is an abundant number, since it is smaller than the sum of its proper divisors (193897781184).

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

72063383616 is a wasteful number, since it uses less digits than its factorization.

72063383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13703 (or 13687 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 72063383616 in words is "seventy-two billion, sixty-three million, three hundred eighty-three thousand, six hundred sixteen".