72071167221 has 48 divisors (see below), whose sum is σ = 106921214400. Its totient is φ = 46766294784.

The previous prime is 72071167219. The next prime is 72071167249. The reversal of 72071167221 is 12276117027.

It is not a de Polignac number, because 72071167221 - 2¹ = 72071167219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72071167121) 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, 27538305 + ... + 27540921.

It is an arithmetic number, because the mean of its divisors is an integer number (2227525300).

Almost surely, 2^72071167221 is an apocalyptic number.

It is an amenable number.

72071167221 is a deficient number, since it is larger than the sum of its proper divisors (34850047179).

72071167221 is a wasteful number, since it uses less digits than its factorization.

72071167221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 72071167221 in words is "seventy-two billion, seventy-one million, one hundred sixty-seven thousand, two hundred twenty-one".