72816877059 has 16 divisors (see below), whose sum is σ = 98339589120. Its totient is φ = 47919643200.

The previous prime is 72816877057. The next prime is 72816877061. The reversal of 72816877059 is 95077861827.

It is an interprime number because it is at equal distance from previous prime (72816877057) and next prime (72816877061).

It is not a de Polignac number, because 72816877059 - 2¹ = 72816877057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72816876993 and 72816877011.

It is not an unprimeable number, because it can be changed into a prime (72816877057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142359 + ... + 1204415.

It is an arithmetic number, because the mean of its divisors is an integer number (6146224320).

Almost surely, 2^72816877059 is an apocalyptic number.

72816877059 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

72816877059 is a deficient number, since it is larger than the sum of its proper divisors (25522712061).

72816877059 is a wasteful number, since it uses less digits than its factorization.

72816877059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67090.

The product of its (nonzero) digits is 11854080, while the sum is 60.

The spelling of 72816877059 in words is "seventy-two billion, eight hundred sixteen million, eight hundred seventy-seven thousand, fifty-nine".