72139644144 has 320 divisors, whose sum is σ = 231604224000. Its totient is φ = 21398307840.

The previous prime is 72139644127. The next prime is 72139644167. The reversal of 72139644144 is 44144693127.

72139644144 is a `hidden beast` number, since 72 + 13 + 96 + 441 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72139644144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8803089 + ... + 8811279.

It is an arithmetic number, because the mean of its divisors is an integer number (723763200).

Almost surely, 2^72139644144 is an apocalyptic number.

72139644144 is a gapful number since it is divisible by the number (74) 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 72139644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115802112000).

72139644144 is an abundant number, since it is smaller than the sum of its proper divisors (159464579856).

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

72139644144 is a wasteful number, since it uses less digits than its factorization.

72139644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8281 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 72139644144 in words is "seventy-two billion, one hundred thirty-nine million, six hundred forty-four thousand, one hundred forty-four".