72196768000 has 576 divisors, whose sum is σ = 218684583936. Its totient is φ = 23224320000.

The previous prime is 72196767997. The next prime is 72196768001. The reversal of 72196768000 is 86769127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72196768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256927860 + ... + 256928140.

It is an arithmetic number, because the mean of its divisors is an integer number (379660736).

Almost surely, 2^72196768000 is an apocalyptic number.

72196768000 is a gapful number since it is divisible by the number (70) 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 72196768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109342291968).

72196768000 is an abundant number, since it is smaller than the sum of its proper divisors (146487815936).

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

72196768000 is a wasteful number, since it uses less digits than its factorization.

72196768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 72196768000 in words is "seventy-two billion, one hundred ninety-six million, seven hundred sixty-eight thousand".