72148352918844 has 144 divisors (see below), whose sum is σ = 181714048588800. Its totient is φ = 22271398262784.

The previous prime is 72148352918819. The next prime is 72148352918867. The reversal of 72148352918844 is 44881925384127.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105735637 + ... + 106415795.

It is an arithmetic number, because the mean of its divisors is an integer number (1261903115200).

Almost surely, 2^{72148352918844} 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 72148352918844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90857024294400).

72148352918844 is an abundant number, since it is smaller than the sum of its proper divisors (109565695669956).

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

72148352918844 is a wasteful number, since it uses less digits than its factorization.

72148352918844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680692 (or 680673 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 66.

The spelling of 72148352918844 in words is "seventy-two trillion, one hundred forty-eight billion, three hundred fifty-two million, nine hundred eighteen thousand, eight hundred forty-four".