72833620314000 has 320 divisors, whose sum is σ = 289003807572480. Its totient is φ = 15367093401600.

The previous prime is 72833620313957. The next prime is 72833620314029. The reversal of 72833620314000 is 41302633827.

72833620314000 is digitally balanced in base 3, 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72833620314000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66151455 + ... + 67243454.

It is an arithmetic number, because the mean of its divisors is an integer number (903136898664).

Almost surely, 2^{72833620314000} is an apocalyptic number.

72833620314000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72833620314000 is an abundant number, since it is smaller than the sum of its proper divisors (216170187258480).

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

72833620314000 is a wasteful number, since it uses less digits than its factorization.

72833620314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133394955 (or 133394939 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 72833620314000 its reverse (41302633827), we get a palindrome (72874922947827).

The spelling of 72833620314000 in words is "seventy-two trillion, eight hundred thirty-three billion, six hundred twenty million, three hundred fourteen thousand".