72563961839616 has 1440 divisors, whose sum is σ = 246401506794240. Its totient is φ = 21315625943040.

The previous prime is 72563961839573. The next prime is 72563961839617. The reversal of 72563961839616 is 61693816936527.

72563961839616 is a `hidden beast` number, since 7 + 2 + 56 + 396 + 183 + 9 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×72563961839616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72563961839617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139278237436 + ... + 139278237956.

It is an arithmetic number, because the mean of its divisors is an integer number (171112157496).

Almost surely, 2^{72563961839616} 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 72563961839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123200753397120).

72563961839616 is an abundant number, since it is smaller than the sum of its proper divisors (173837544954624).

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

72563961839616 is an frugal number, since it uses more digits than its factorization.

72563961839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 562 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 72563961839616 in words is "seventy-two trillion, five hundred sixty-three billion, nine hundred sixty-one million, eight hundred thirty-nine thousand, six hundred sixteen".