72164446128 has 100 divisors (see below), whose sum is σ = 208947684528. Its totient is φ = 24045275520.

The previous prime is 72164446111. The next prime is 72164446141. The reversal of 72164446128 is 82164446127.

72164446128 is a `hidden beast` number, since 7 + 2 + 164 + 4 + 461 + 28 = 666.

It is a super-2 number, since 2×72164446128² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3752698 + ... + 3771878.

Almost surely, 2^72164446128 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 72164446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104473842264).

72164446128 is an abundant number, since it is smaller than the sum of its proper divisors (136783238400).

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

72164446128 is a wasteful number, since it uses less digits than its factorization.

72164446128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22104 (or 22089 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

Subtracting 72164446128 from its reverse (82164446127), we obtain a palindrome (9999999999).

The spelling of 72164446128 in words is "seventy-two billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred twenty-eight".