72524065824 has 576 divisors, whose sum is σ = 268032240000. Its totient is φ = 18947561472.

The previous prime is 72524065787. The next prime is 72524065871. The reversal of 72524065824 is 42856042527.

72524065824 is a `hidden beast` number, since 7 + 25 + 2 + 40 + 6 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72524065824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23325582 + ... + 23328690.

It is an arithmetic number, because the mean of its divisors is an integer number (465333750).

Almost surely, 2^72524065824 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 72524065824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134016120000).

72524065824 is an abundant number, since it is smaller than the sum of its proper divisors (195508174176).

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

72524065824 is a wasteful number, since it uses less digits than its factorization.

72524065824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 72524065824 in words is "seventy-two billion, five hundred twenty-four million, sixty-five thousand, eight hundred twenty-four".