72627263146565 has 8 divisors (see below), whose sum is σ = 87152854980600. Its totient is φ = 58101717714112.

The previous prime is 72627263146439. The next prime is 72627263146621. The reversal of 72627263146565 is 56564136272627.

It can be written as a sum of positive squares in 4 ways, for example, as 3503852372164 + 69123410774401 = 1871858^2 + 8314049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72627263146565 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72627263146498 and 72627263146507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8058674 + ... + 14498163.

It is an arithmetic number, because the mean of its divisors is an integer number (10894106872575).

Almost surely, 2^{72627263146565} is an apocalyptic number.

It is an amenable number.

72627263146565 is a deficient number, since it is larger than the sum of its proper divisors (14525591834035).

72627263146565 is a wasteful number, since it uses less digits than its factorization.

72627263146565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23200791.

The product of its digits is 152409600, while the sum is 62.

The spelling of 72627263146565 in words is "seventy-two trillion, six hundred twenty-seven billion, two hundred sixty-three million, one hundred forty-six thousand, five hundred sixty-five".