72283228416 has 720 divisors, whose sum is σ = 259694157184. Its totient is φ = 19564167168.

The previous prime is 72283228399. The next prime is 72283228439. The reversal of 72283228416 is 61482238227.

72283228416 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 3 + 228 + 416 = 666.

It is a super-2 number, since 2×72283228416² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 230936676 + ... + 230936988.

Almost surely, 2^72283228416 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 72283228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129847078592).

72283228416 is an abundant number, since it is smaller than the sum of its proper divisors (187410928768).

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

72283228416 is a wasteful number, since it uses less digits than its factorization.

72283228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 72283228416 in words is "seventy-two billion, two hundred eighty-three million, two hundred twenty-eight thousand, four hundred sixteen".