322735320072 has 192 divisors, whose sum is σ = 974067120000. Its totient is φ = 95709081600.

The previous prime is 322735320059. The next prime is 322735320079. The reversal of 322735320072 is 270023537223.

322735320072 is a `hidden beast` number, since 32 + 2 + 7 + 353 + 200 + 72 = 666.

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 (322735320079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9597304 + ... + 9630872.

It is an arithmetic number, because the mean of its divisors is an integer number (5073266250).

Almost surely, 2^322735320072 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 322735320072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487033560000).

322735320072 is an abundant number, since it is smaller than the sum of its proper divisors (651331799928).

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

322735320072 is a wasteful number, since it uses less digits than its factorization.

322735320072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33852 (or 33845 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

Adding to 322735320072 its reverse (270023537223), we get a palindrome (592758857295).

The spelling of 322735320072 in words is "three hundred twenty-two billion, seven hundred thirty-five million, three hundred twenty thousand, seventy-two".