72159117030 has 512 divisors, whose sum is σ = 259489198080. Its totient is φ = 13780316160.

The previous prime is 72159117029. The next prime is 72159117053. The reversal of 72159117030 is 3071195127.

72159117030 is a `hidden beast` number, since 7 + 21 + 591 + 17 + 0 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84594084 + ... + 84594936.

It is an arithmetic number, because the mean of its divisors is an integer number (506814840).

Almost surely, 2^72159117030 is an apocalyptic number.

72159117030 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72159117030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129744599040).

72159117030 is an abundant number, since it is smaller than the sum of its proper divisors (187330081050).

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

72159117030 is a wasteful number, since it uses less digits than its factorization.

72159117030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 72159117030 in words is "seventy-two billion, one hundred fifty-nine million, one hundred seventeen thousand, thirty".