72228252096 has 1120 divisors, whose sum is σ = 297406771200. Its totient is φ = 16721510400.

The previous prime is 72228252091. The next prime is 72228252133. The reversal of 72228252096 is 69025282227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72228252091) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160864480 + ... + 160864928.

It is an arithmetic number, because the mean of its divisors is an integer number (265541760).

Almost surely, 2^72228252096 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 72228252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148703385600).

72228252096 is an abundant number, since it is smaller than the sum of its proper divisors (225178519104).

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

72228252096 is a wasteful number, since it uses less digits than its factorization.

72228252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72228252096 in words is "seventy-two billion, two hundred twenty-eight million, two hundred fifty-two thousand, ninety-six".