72867744776827 has 32 divisors (see below), whose sum is σ = 97903748597760. Its totient is φ = 52376291003520.

The previous prime is 72867744776711. The next prime is 72867744776831.

72867744776827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72867744776827 - 2¹¹ = 72867744774779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72867744776927) 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 31 ways as a sum of consecutive naturals, for example, 23595427 + ... + 26504332.

It is an arithmetic number, because the mean of its divisors is an integer number (3059492143680).

Almost surely, 2^{72867744776827} is an apocalyptic number.

72867744776827 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72867744776827 is a deficient number, since it is larger than the sum of its proper divisors (25036003820933).

72867744776827 is a wasteful number, since it uses less digits than its factorization.

72867744776827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50101243.

The product of its digits is 17348050944, while the sum is 82.

The spelling of 72867744776827 in words is "seventy-two trillion, eight hundred sixty-seven billion, seven hundred forty-four million, seven hundred seventy-six thousand, eight hundred twenty-seven".