72196416000 has 960 divisors, whose sum is σ = 281869432416. Its totient is φ = 17694720000.

The previous prime is 72196415989. The next prime is 72196416001. The reversal of 72196416000 is 61469127.

72196416000 is a `hidden beast` number, since 7 + 2 + 1 + 9 + 6 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4837480704 + 67358935296 = 69552^2 + 259536^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72196416001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714815950 + ... + 714816050.

Almost surely, 2^72196416000 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 72196416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140934716208).

72196416000 is an abundant number, since it is smaller than the sum of its proper divisors (209673016416).

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

72196416000 is a wasteful number, since it uses less digits than its factorization.

72196416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 72196416000 in words is "seventy-two billion, one hundred ninety-six million, four hundred sixteen thousand".