72016722216 has 96 divisors (see below), whose sum is σ = 204706625760. Its totient is φ = 23716297152.

The previous prime is 72016722161. The next prime is 72016722247. The reversal of 72016722216 is 61222761027.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61815 + ... + 384518.

It is an arithmetic number, because the mean of its divisors is an integer number (2132360685).

Almost surely, 2^72016722216 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 72016722216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102353312880).

72016722216 is an abundant number, since it is smaller than the sum of its proper divisors (132689903544).

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

72016722216 is a wasteful number, since it uses less digits than its factorization.

72016722216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446437 (or 446421 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72016722216 in words is "seventy-two billion, sixteen million, seven hundred twenty-two thousand, two hundred sixteen".