72122110466265 has 48 divisors (see below), whose sum is σ = 126561214398528. Its totient is φ = 37988656933248.

The previous prime is 72122110466261. The next prime is 72122110466269. The reversal of 72122110466265 is 56266401122127.

72122110466265 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 2 + 1 + 10 + 4 + 6 + 626 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (72122110466261) and next prime (72122110466269).

It is not a de Polignac number, because 72122110466265 - 2² = 72122110466261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72122110466265.

It is not an unprimeable number, because it can be changed into a prime (72122110466261) 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, 7585122 + ... + 14204868.

It is an arithmetic number, because the mean of its divisors is an integer number (2636691966636).

Almost surely, 2^{72122110466265} is an apocalyptic number.

It is an amenable number.

72122110466265 is a deficient number, since it is larger than the sum of its proper divisors (54439103932263).

72122110466265 is a wasteful number, since it uses less digits than its factorization.

72122110466265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622758 (or 6622755 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72122110466265 in words is "seventy-two trillion, one hundred twenty-two billion, one hundred ten million, four hundred sixty-six thousand, two hundred sixty-five".