72144156196 has 96 divisors (see below), whose sum is σ = 151650938880. Its totient is φ = 29376950400.

The previous prime is 72144156191. The next prime is 72144156221. The reversal of 72144156196 is 69165144127.

It is not an unprimeable number, because it can be changed into a prime (72144156191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46755001 + ... + 46756543.

It is an arithmetic number, because the mean of its divisors is an integer number (1579697280).

Almost surely, 2^72144156196 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 72144156196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75825469440).

72144156196 is an abundant number, since it is smaller than the sum of its proper divisors (79506782684).

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

72144156196 is a wasteful number, since it uses less digits than its factorization.

72144156196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2463 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The spelling of 72144156196 in words is "seventy-two billion, one hundred forty-four million, one hundred fifty-six thousand, one hundred ninety-six".