72846664827 has 32 divisors (see below), whose sum is σ = 103475877120. Its totient is φ = 45426769920.

The previous prime is 72846664801. The next prime is 72846664853.

72846664827 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72846664801) and next prime (72846664853).

It is not a de Polignac number, because 72846664827 - 2⁸ = 72846664571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72846664127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8270808 + ... + 8279610.

It is an arithmetic number, because the mean of its divisors is an integer number (3233621160).

Almost surely, 2^72846664827 is an apocalyptic number.

72846664827 is a deficient number, since it is larger than the sum of its proper divisors (30629212293).

72846664827 is a wasteful number, since it uses less digits than its factorization.

72846664827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803.

The product of its digits is 43352064, while the sum is 60.

The spelling of 72846664827 in words is "seventy-two billion, eight hundred forty-six million, six hundred sixty-four thousand, eight hundred twenty-seven".