72173310168 has 256 divisors, whose sum is σ = 198132480000. Its totient is φ = 21834399744.

The previous prime is 72173310089. The next prime is 72173310217. The reversal of 72173310168 is 86101337127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309756580 + ... + 309756812.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2^72173310168 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 72173310168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240000).

72173310168 is an abundant number, since it is smaller than the sum of its proper divisors (125959169832).

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

72173310168 is a wasteful number, since it uses less digits than its factorization.

72173310168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 72173310168 in words is "seventy-two billion, one hundred seventy-three million, three hundred ten thousand, one hundred sixty-eight".