72834650585424 has 1120 divisors, whose sum is σ = 264916528701440. Its totient is φ = 18879233200128.

The previous prime is 72834650585393. The next prime is 72834650585503. The reversal of 72834650585424 is 42458505643827.

72834650585424 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 4 + 6 + 5 + 0 + 585 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14693289954 + ... + 14693294910.

It is an arithmetic number, because the mean of its divisors is an integer number (236532614912).

Almost surely, 2^{72834650585424} 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 72834650585424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132458264350720).

72834650585424 is an abundant number, since it is smaller than the sum of its proper divisors (192081878116016).

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

72834650585424 is a wasteful number, since it uses less digits than its factorization.

72834650585424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 63.

The spelling of 72834650585424 in words is "seventy-two trillion, eight hundred thirty-four billion, six hundred fifty million, five hundred eighty-five thousand, four hundred twenty-four".