72566211305 has 32 divisors (see below), whose sum is σ = 105480009216. Its totient is φ = 46785291264.

The previous prime is 72566211299. The next prime is 72566211307. The reversal of 72566211305 is 50311266527.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72566211305 - 2²² = 72562017001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72566211307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532052 + ... + 654378.

It is an arithmetic number, because the mean of its divisors is an integer number (3296250288).

Almost surely, 2^72566211305 is an apocalyptic number.

It is an amenable number.

72566211305 is a deficient number, since it is larger than the sum of its proper divisors (32913797911).

72566211305 is a wasteful number, since it uses less digits than its factorization.

72566211305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123353.

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 72566211305 in words is "seventy-two billion, five hundred sixty-six million, two hundred eleven thousand, three hundred five".