72831589223200 has 144 divisors (see below), whose sum is σ = 178191430956000. Its totient is φ = 29068579491840.

The previous prime is 72831589223189. The next prime is 72831589223207. The reversal of 72831589223200 is 232298513827.

It is not an unprimeable number, because it can be changed into a prime (72831589223207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784954411 + ... + 785047189.

It is an arithmetic number, because the mean of its divisors is an integer number (1237440492750).

Almost surely, 2^{72831589223200} 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 72831589223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89095715478000).

72831589223200 is an abundant number, since it is smaller than the sum of its proper divisors (105359841732800).

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

72831589223200 is a wasteful number, since it uses less digits than its factorization.

72831589223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94947 (or 94934 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 72831589223200 in words is "seventy-two trillion, eight hundred thirty-one billion, five hundred eighty-nine million, two hundred twenty-three thousand, two hundred".