72221706401 has 16 divisors (see below), whose sum is σ = 80472268800. Its totient is φ = 64356898368.

The previous prime is 72221706377. The next prime is 72221706451. The reversal of 72221706401 is 10460712227.

It is not a de Polignac number, because 72221706401 - 2²² = 72217512097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72221706451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3173180 + ... + 3195858.

It is an arithmetic number, because the mean of its divisors is an integer number (5029516800).

Almost surely, 2^72221706401 is an apocalyptic number.

It is an amenable number.

72221706401 is a deficient number, since it is larger than the sum of its proper divisors (8250562399).

72221706401 is a wasteful number, since it uses less digits than its factorization.

72221706401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31168.

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 72221706401 in words is "seventy-two billion, two hundred twenty-one million, seven hundred six thousand, four hundred one".