72542835764784 has 1440 divisors, whose sum is σ = 274170976934400. Its totient is φ = 18283970073600.

The previous prime is 72542835764743. The next prime is 72542835764801. The reversal of 72542835764784 is 48746753824527.

72542835764784 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 2 + 8 + 3 + 576 + 47 + 8 + 4 = 666.

72542835764784 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46531644997 + ... + 46531646555.

It is an arithmetic number, because the mean of its divisors is an integer number (190396511760).

Almost surely, 2^{72542835764784} is an apocalyptic number.

72542835764784 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 72542835764784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137085488467200).

72542835764784 is an abundant number, since it is smaller than the sum of its proper divisors (201628141169616).

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

72542835764784 is a wasteful number, since it uses less digits than its factorization.

72542835764784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2110 counting only the distinct ones).

The product of its digits is 2528870400, while the sum is 72.

The spelling of 72542835764784 in words is "seventy-two trillion, five hundred forty-two billion, eight hundred thirty-five million, seven hundred sixty-four thousand, seven hundred eighty-four".