71872320000 has 600 divisors, whose sum is σ = 259669366704. Its totient is φ = 17651712000.

The previous prime is 71872319983. The next prime is 71872320007. The reversal of 71872320000 is 2327817.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 71872320000.

It is not an unprimeable number, because it can be changed into a prime (71872320007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162239779 + ... + 162240221.

Almost surely, 2^71872320000 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 71872320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129834683352).

71872320000 is an abundant number, since it is smaller than the sum of its proper divisors (187797046704).

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

71872320000 is an equidigital number, since it uses as much as digits as its factorization.

71872320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 71872320000 its reverse (2327817), we get a palindrome (71874647817).

The spelling of 71872320000 in words is "seventy-one billion, eight hundred seventy-two million, three hundred twenty thousand".