72561222216527 has 16 divisors (see below), whose sum is σ = 80842352527872. Its totient is φ = 64560883432320.

The previous prime is 72561222216481. The next prime is 72561222216547.

72561222216527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72561222216527 - 2¹⁸ = 72561221954383 is a prime.

It is a super-2 number, since 2×72561222216527² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72561222216547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145380983 + ... + 145879239.

It is an arithmetic number, because the mean of its divisors is an integer number (5052647032992).

Almost surely, 2^{72561222216527} is an apocalyptic number.

72561222216527 is a deficient number, since it is larger than the sum of its proper divisors (8281130311345).

72561222216527 is a wasteful number, since it uses less digits than its factorization.

72561222216527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779998.

The product of its digits is 2822400, while the sum is 50.

The spelling of 72561222216527 in words is "seventy-two trillion, five hundred sixty-one billion, two hundred twenty-two million, two hundred sixteen thousand, five hundred twenty-seven".