72652866825627 has 48 divisors (see below), whose sum is σ = 116921012682240. Its totient is φ = 43094491070400.

The previous prime is 72652866825593. The next prime is 72652866825677.

72652866825627 is a `hidden beast` number, since 7 + 2 + 6 + 52 + 8 + 6 + 6 + 8 + 2 + 562 + 7 = 666.

72652866825627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72652866825627 - 2²⁸ = 72652598390171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72652866825677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500501824 + ... + 500646962.

It is an arithmetic number, because the mean of its divisors is an integer number (2435854430880).

Almost surely, 2^{72652866825627} is an apocalyptic number.

72652866825627 is a deficient number, since it is larger than the sum of its proper divisors (44268145856613).

72652866825627 is a wasteful number, since it uses less digits than its factorization.

72652866825627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252784 (or 252781 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 72652866825627 in words is "seventy-two trillion, six hundred fifty-two billion, eight hundred sixty-six million, eight hundred twenty-five thousand, six hundred twenty-seven".