72800000827 has 2 divisors, whose sum is σ = 72800000828. Its totient is φ = 72800000826.

The previous prime is 72800000797. The next prime is 72800000837.

72800000827 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 72800000827 - 2¹⁹ = 72799476539 is a prime.

It is a super-2 number, since 2×72800000827² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72800000792 and 72800000801.

It is not a weakly prime, because it can be changed into another prime (72800000837) 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 as a sum of consecutive naturals, namely, 36400000413 + 36400000414.

It is an arithmetic number, because the mean of its divisors is an integer number (36400000414).

Almost surely, 2^72800000827 is an apocalyptic number.

72800000827 is a deficient number, since it is larger than the sum of its proper divisors (1).

72800000827 is an equidigital number, since it uses as much as digits as its factorization.

72800000827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12544, while the sum is 34.

It can be divided in two parts, 72800000 and 827, that added together give a palindrome (72800827).

The spelling of 72800000827 in words is "seventy-two billion, eight hundred million, eight hundred twenty-seven", and thus it is an aban number.