72564846527 has 8 divisors (see below), whose sum is σ = 74525406480. Its totient is φ = 70628641600.

The previous prime is 72564846509. The next prime is 72564846539.

72564846527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72564846527 - 2¹⁰ = 72564845503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72564846427) 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 7 ways as a sum of consecutive naturals, for example, 6082718 + ... + 6094635.

It is an arithmetic number, because the mean of its divisors is an integer number (9315675810).

Almost surely, 2^72564846527 is an apocalyptic number.

72564846527 is a deficient number, since it is larger than the sum of its proper divisors (1960559953).

72564846527 is a wasteful number, since it uses less digits than its factorization.

72564846527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12177513.

The product of its digits is 22579200, while the sum is 56.

The spelling of 72564846527 in words is "seventy-two billion, five hundred sixty-four million, eight hundred forty-six thousand, five hundred twenty-seven".