72828052567083 has 48 divisors (see below), whose sum is σ = 118477016865792. Its totient is φ = 42708722472000.

The previous prime is 72828052567069. The next prime is 72828052567133. The reversal of 72828052567083 is 38076525082827.

It is a happy number.

72828052567083 is a `hidden beast` number, since 7 + 2 + 8 + 28 + 0 + 525 + 6 + 7 + 0 + 83 = 666.

It is not a de Polignac number, because 72828052567083 - 2¹⁴ = 72828052550699 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72828052567083.

It is not an unprimeable number, because it can be changed into a prime (72828052567483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21569916 + ... + 24716742.

It is an arithmetic number, because the mean of its divisors is an integer number (2468271184704).

Almost surely, 2^{72828052567083} is an apocalyptic number.

72828052567083 is a deficient number, since it is larger than the sum of its proper divisors (45648964298709).

72828052567083 is a wasteful number, since it uses less digits than its factorization.

72828052567083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154416 (or 3154413 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 72828052567083 in words is "seventy-two trillion, eight hundred twenty-eight billion, fifty-two million, five hundred sixty-seven thousand, eighty-three".