72560433406527 has 64 divisors (see below), whose sum is σ = 122236425945600. Its totient is φ = 42148859639040.

The previous prime is 72560433406519. The next prime is 72560433406553.

72560433406527 is a `hidden beast` number, since 7 + 2 + 5 + 604 + 3 + 3 + 4 + 0 + 6 + 5 + 27 = 666.

72560433406527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72560433406527 - 2³ = 72560433406519 is a prime.

It is a super-2 number, since 2×72560433406527² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72560433406927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48539902 + ... + 50012427.

It is an arithmetic number, because the mean of its divisors is an integer number (1909944155400).

Almost surely, 2^{72560433406527} is an apocalyptic number.

72560433406527 is a deficient number, since it is larger than the sum of its proper divisors (49675992539073).

72560433406527 is a wasteful number, since it uses less digits than its factorization.

72560433406527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98552453 (or 98552447 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 72560433406527 in words is "seventy-two trillion, five hundred sixty billion, four hundred thirty-three million, four hundred six thousand, five hundred twenty-seven".