72222892416 has 192 divisors, whose sum is σ = 219008790000. Its totient is φ = 22782062592.

The previous prime is 72222892393. The next prime is 72222892447. The reversal of 72222892416 is 61429822227.

72222892416 is a `hidden beast` number, since 7 + 2 + 2 + 228 + 9 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×72222892416³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37055410 + ... + 37057358.

Almost surely, 2^72222892416 is an apocalyptic number.

72222892416 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 72222892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109504395000).

72222892416 is an abundant number, since it is smaller than the sum of its proper divisors (146785897584).

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

72222892416 is a wasteful number, since it uses less digits than its factorization.

72222892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3666 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 72222892416 in words is "seventy-two billion, two hundred twenty-two million, eight hundred ninety-two thousand, four hundred sixteen".