72565255256527 has 16 divisors (see below), whose sum is σ = 80387569944864. Its totient is φ = 64954403280000.

The previous prime is 72565255256441. The next prime is 72565255256539.

72565255256527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72565255256527 - 2¹⁹ = 72565254732239 is a prime.

It is a super-2 number, since 2×72565255256527² (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 (72565255256327) 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, 180227808 + ... + 180629989.

It is an arithmetic number, because the mean of its divisors is an integer number (5024223121554).

Almost surely, 2^{72565255256527} is an apocalyptic number.

72565255256527 is a deficient number, since it is larger than the sum of its proper divisors (7822314688337).

72565255256527 is a wasteful number, since it uses less digits than its factorization.

72565255256527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360858090.

The product of its digits is 441000000, while the sum is 64.

The spelling of 72565255256527 in words is "seventy-two trillion, five hundred sixty-five billion, two hundred fifty-five million, two hundred fifty-six thousand, five hundred twenty-seven".