72144273096 has 288 divisors, whose sum is σ = 235423169280. Its totient is φ = 19879776000.

The previous prime is 72144273083. The next prime is 72144273109. The reversal of 72144273096 is 69037244127.

72144273096 is a `hidden beast` number, since 7 + 214 + 427 + 3 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (72144273083) and next prime (72144273109).

It is a super-2 number, since 2×72144273096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37949746 + ... + 37951646.

It is an arithmetic number, because the mean of its divisors is an integer number (817441560).

Almost surely, 2^72144273096 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 72144273096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117711584640).

72144273096 is an abundant number, since it is smaller than the sum of its proper divisors (163278896184).

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

72144273096 is a wasteful number, since it uses less digits than its factorization.

72144273096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72144273096 in words is "seventy-two billion, one hundred forty-four million, two hundred seventy-three thousand, ninety-six".