72505165824 has 576 divisors, whose sum is σ = 267445825920. Its totient is φ = 19110297600.

The previous prime is 72505165813. The next prime is 72505165853. The reversal of 72505165824 is 42856150527.

72505165824 is a `hidden beast` number, since 7 + 2 + 50 + 5 + 16 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 72505165824.

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, 45286624 + ... + 45288224.

It is an arithmetic number, because the mean of its divisors is an integer number (464315670).

Almost surely, 2^72505165824 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 72505165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133722912960).

72505165824 is an abundant number, since it is smaller than the sum of its proper divisors (194940660096).

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

72505165824 is a wasteful number, since it uses less digits than its factorization.

72505165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 72505165824 in words is "seventy-two billion, five hundred five million, one hundred sixty-five thousand, eight hundred twenty-four".