72565456527 has 16 divisors (see below), whose sum is σ = 112178484480. Its totient is φ = 46273624056.

The previous prime is 72565456427. The next prime is 72565456529.

72565456527 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 54 + 565 + 27 = 666.

72565456527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72565456527 - 2¹⁹ = 72564932239 is a prime.

It is a super-3 number, since 3×72565456527³ (a number of 34 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72565456529) 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, 58425673 + ... + 58426914.

It is an arithmetic number, because the mean of its divisors is an integer number (7011155280).

Almost surely, 2^72565456527 is an apocalyptic number.

72565456527 is a deficient number, since it is larger than the sum of its proper divisors (39613027953).

72565456527 is a wasteful number, since it uses less digits than its factorization.

72565456527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116852619 (or 116852613 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 72565456527 in words is "seventy-two billion, five hundred sixty-five million, four hundred fifty-six thousand, five hundred twenty-seven".