72863036827 has 16 divisors (see below), whose sum is σ = 84071665152. Its totient is φ = 61854612480.

The previous prime is 72863036821. The next prime is 72863036839.

72863036827 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72863036827 - 2⁷ = 72863036699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72863036821) 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 15 ways as a sum of consecutive naturals, for example, 3662427 + ... + 3682267.

It is an arithmetic number, because the mean of its divisors is an integer number (5254479072).

Almost surely, 2^72863036827 is an apocalyptic number.

72863036827 is a deficient number, since it is larger than the sum of its proper divisors (11208628325).

72863036827 is a wasteful number, since it uses less digits than its factorization.

72863036827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24858.

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 72863036827 in words is "seventy-two billion, eight hundred sixty-three million, thirty-six thousand, eight hundred twenty-seven".