72543129984 has 256 divisors, whose sum is σ = 234489024000. Its totient is φ = 21941839872.

The previous prime is 72543129937. The next prime is 72543130003. The reversal of 72543129984 is 48992134527.

72543129984 is a `hidden beast` number, since 7 + 2 + 543 + 1 + 2 + 9 + 98 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72543129984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637069 + ... + 2664435.

It is an arithmetic number, because the mean of its divisors is an integer number (915972750).

Almost surely, 2^72543129984 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 72543129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117244512000).

72543129984 is an abundant number, since it is smaller than the sum of its proper divisors (161945894016).

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

72543129984 is a wasteful number, since it uses less digits than its factorization.

72543129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27462 (or 27444 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 72543129984 in words is "seventy-two billion, five hundred forty-three million, one hundred twenty-nine thousand, nine hundred eighty-four".