72824645376 has 360 divisors, whose sum is σ = 250632205824. Its totient is φ = 20600801280.

The previous prime is 72824645363. The next prime is 72824645381. The reversal of 72824645376 is 67354642827.

72824645376 is a `hidden beast` number, since 7 + 2 + 82 + 46 + 453 + 76 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14948221 + ... + 14953091.

Almost surely, 2^72824645376 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 72824645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125316102912).

72824645376 is an abundant number, since it is smaller than the sum of its proper divisors (177807560448).

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

72824645376 is a wasteful number, since it uses less digits than its factorization.

72824645376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4986 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 72824645376 in words is "seventy-two billion, eight hundred twenty-four million, six hundred forty-five thousand, three hundred seventy-six".