72248221760000 has 400 divisors, whose sum is σ = 211922647519968. Its totient is φ = 24251136000000.

The previous prime is 72248221759993. The next prime is 72248221760023. The reversal of 72248221760000 is 6712284227.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 72248221760000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44970575 + ... + 46549425.

Almost surely, 2^{72248221760000} 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 72248221760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105961323759984).

72248221760000 is an abundant number, since it is smaller than the sum of its proper divisors (139674425759968).

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

72248221760000 is a wasteful number, since it uses less digits than its factorization.

72248221760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578913 (or 1578882 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 72248221760000 in words is "seventy-two trillion, two hundred forty-eight billion, two hundred twenty-one million, seven hundred sixty thousand".