72810757368601 has 12 divisors (see below), whose sum is σ = 84760460386740. Its totient is φ = 62363365128960.

The previous prime is 72810757368589. The next prime is 72810757368623. The reversal of 72810757368601 is 10686375701827.

It can be written as a sum of positive squares in 2 ways, for example, as 34075705753600 + 38735051615001 = 5837440^2 + 6223749^2 .

It is not a de Polignac number, because 72810757368601 - 2¹³ = 72810757360409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72810757368601.

It is not an unprimeable number, because it can be changed into a prime (72810757368641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 545831116 + ... + 545964493.

It is an arithmetic number, because the mean of its divisors is an integer number (7063371698895).

Almost surely, 2^{72810757368601} is an apocalyptic number.

It is an amenable number.

72810757368601 is a deficient number, since it is larger than the sum of its proper divisors (11949703018139).

72810757368601 is a wasteful number, since it uses less digits than its factorization.

72810757368601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091796984 (or 1091796977 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 61.

The spelling of 72810757368601 in words is "seventy-two trillion, eight hundred ten billion, seven hundred fifty-seven million, three hundred sixty-eight thousand, six hundred one".