161213127672 has 128 divisors (see below), whose sum is σ = 432641088000. Its totient is φ = 49963630080.

The previous prime is 161213127611. The next prime is 161213127689. The reversal of 161213127672 is 276721312161.

161213127672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 161213127672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086954 + ... + 2162822.

It is an arithmetic number, because the mean of its divisors is an integer number (3380008500).

Almost surely, 2^161213127672 is an apocalyptic number.

161213127672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161213127672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216320544000).

161213127672 is an abundant number, since it is smaller than the sum of its proper divisors (271427960328).

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

161213127672 is a wasteful number, since it uses less digits than its factorization.

161213127672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76021 (or 76017 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The spelling of 161213127672 in words is "one hundred sixty-one billion, two hundred thirteen million, one hundred twenty-seven thousand, six hundred seventy-two".