72228105216 has 352 divisors, whose sum is σ = 218865240000. Its totient is φ = 23525720064.

The previous prime is 72228105179. The next prime is 72228105263. The reversal of 72228105216 is 61250182227.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366640030 + ... + 366640226.

It is an arithmetic number, because the mean of its divisors is an integer number (621776250).

Almost surely, 2^72228105216 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 72228105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109432620000).

72228105216 is an abundant number, since it is smaller than the sum of its proper divisors (146637134784).

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

72228105216 is a wasteful number, since it uses less digits than its factorization.

72228105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 72228105216 in words is "seventy-two billion, two hundred twenty-eight million, one hundred five thousand, two hundred sixteen".