72205087221 has 6 divisors (see below), whose sum is σ = 104296237110. Its totient is φ = 48136724808.

The previous prime is 72205087217. The next prime is 72205087289. The reversal of 72205087221 is 12278050227.

It can be written as a sum of positive squares in only one way, i.e., 70429728996 + 1775358225 = 265386^2 + 42135^2 .

It is not a de Polignac number, because 72205087221 - 2² = 72205087217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205087021) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4011393726 + ... + 4011393743.

It is an arithmetic number, because the mean of its divisors is an integer number (17382706185).

Almost surely, 2^72205087221 is an apocalyptic number.

It is an amenable number.

72205087221 is a deficient number, since it is larger than the sum of its proper divisors (32091149889).

72205087221 is a wasteful number, since it uses less digits than its factorization.

72205087221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022787475 (or 8022787472 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 72205087221 in words is "seventy-two billion, two hundred five million, eighty-seven thousand, two hundred twenty-one".