72221710176 has 288 divisors, whose sum is σ = 256345689600. Its totient is φ = 18737879040.

The previous prime is 72221710159. The next prime is 72221710189. The reversal of 72221710176 is 67101712227.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72221710176² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72221710176.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34571340 + ... + 34573428.

It is an arithmetic number, because the mean of its divisors is an integer number (890089200).

Almost surely, 2^72221710176 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 72221710176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128172844800).

72221710176 is an abundant number, since it is smaller than the sum of its proper divisors (184123979424).

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

72221710176 is a wasteful number, since it uses less digits than its factorization.

72221710176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 72221710176 in words is "seventy-two billion, two hundred twenty-one million, seven hundred ten thousand, one hundred seventy-six".