72164446140 has 96 divisors (see below), whose sum is σ = 214233513984. Its totient is φ = 18087552000.

The previous prime is 72164446111. The next prime is 72164446141. The reversal of 72164446140 is 4164446127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164446141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718917 + ... + 813123.

It is an arithmetic number, because the mean of its divisors is an integer number (2231599104).

Almost surely, 2^72164446140 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 72164446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107116756992).

72164446140 is an abundant number, since it is smaller than the sum of its proper divisors (142069067844).

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

72164446140 is a wasteful number, since it uses less digits than its factorization.

72164446140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94987 (or 94985 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 72164446140 in words is "seventy-two billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred forty".