82672265120041 has 9 divisors (see below), whose sum is σ = 86423210318109. Its totient is φ = 79077618777036.

The previous prime is 82672265120021. The next prime is 82672265120089. The reversal of 82672265120041 is 14002156227628.

The square root of 82672265120041 is 9092429.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 82672265120041 - 2¹⁷ = 82672264988969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82672265119973 and 82672265120000.

It is not an unprimeable number, because it can be changed into a prime (82672265120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 208928206 + ... + 209323528.

Almost surely, 2^{82672265120041} is an apocalyptic number.

82672265120041 is the 9092429-th square number.

82672265120041 is the 4546215-th centered octagonal number.

It is an amenable number.

82672265120041 is a deficient number, since it is larger than the sum of its proper divisors (3750945198068).

82672265120041 is an frugal number, since it uses more digits than its factorization.

82672265120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790692 (or 395346 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 82672265120041 in words is "eighty-two trillion, six hundred seventy-two billion, two hundred sixty-five million, one hundred twenty thousand, forty-one".