72130411584 has 378 divisors, whose sum is σ = 264367831182. Its totient is φ = 18734284800.

The previous prime is 72130411583. The next prime is 72130411597. The reversal of 72130411584 is 48511403127.

72130411584 is a `hidden beast` number, since 7 + 2 + 1 + 30 + 41 + 1 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66936038400 + 5194373184 = 258720^2 + 72072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72130411583) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3404544 + ... + 3425664.

Almost surely, 2^72130411584 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 72130411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132183915591).

72130411584 is an abundant number, since it is smaller than the sum of its proper divisors (192237419598).

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

72130411584 is a wasteful number, since it uses less digits than its factorization.

72130411584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21175 (or 21144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 72130411584 in words is "seventy-two billion, one hundred thirty million, four hundred eleven thousand, five hundred eighty-four".