72163350735156 has 144 divisors (see below), whose sum is σ = 194150638281600. Its totient is φ = 22536064429056.

The previous prime is 72163350735139. The next prime is 72163350735167. The reversal of 72163350735156 is 65153705336127.

72163350735156 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 3 + 3 + 50 + 73 + 515 + 6 = 666.

It is a congruent number.

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, 23181160 + ... + 26109248.

It is an arithmetic number, because the mean of its divisors is an integer number (1348268321400).

Almost surely, 2^{72163350735156} is an apocalyptic number.

72163350735156 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 72163350735156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97075319140800).

72163350735156 is an abundant number, since it is smaller than the sum of its proper divisors (121987287546444).

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

72163350735156 is a wasteful number, since it uses less digits than its factorization.

72163350735156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928518 (or 2928513 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 72163350735156 in words is "seventy-two trillion, one hundred sixty-three billion, three hundred fifty million, seven hundred thirty-five thousand, one hundred fifty-six".