72139584960 has 336 divisors, whose sum is σ = 259847218176. Its totient is φ = 19048338432.

The previous prime is 72139584953. The next prime is 72139584973. The reversal of 72139584960 is 6948593127.

72139584960 is a `hidden beast` number, since 7 + 21 + 39 + 584 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72139584897 and 72139584906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8004777 + ... + 8013783.

It is an arithmetic number, because the mean of its divisors is an integer number (773354816).

It is a 1-persistent number, because it is pandigital, but 2⋅72139584960 = 144279169920 is not.

Almost surely, 2^72139584960 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 72139584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129923609088).

72139584960 is an abundant number, since it is smaller than the sum of its proper divisors (187707633216).

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

72139584960 is a wasteful number, since it uses less digits than its factorization.

72139584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 72139584960 in words is "seventy-two billion, one hundred thirty-nine million, five hundred eighty-four thousand, nine hundred sixty".