72121260672216 has 96 divisors (see below), whose sum is σ = 223253837483040. Its totient is φ = 20604102418944.

The previous prime is 72121260672211. The next prime is 72121260672233. The reversal of 72121260672216 is 61227606212127.

72121260672216 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 1 + 2 + 606 + 7 + 22 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72121260672211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571871 + ... + 12112526.

It is an arithmetic number, because the mean of its divisors is an integer number (2325560807115).

Almost surely, 2^{72121260672216} is an apocalyptic number.

It is an amenable number.

72121260672216 is an abundant number, since it is smaller than the sum of its proper divisors (151132576810824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72121260672216 is a wasteful number, since it uses less digits than its factorization.

72121260672216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694873 (or 13694866 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72121260672216 in words is "seventy-two trillion, one hundred twenty-one billion, two hundred sixty million, six hundred seventy-two thousand, two hundred sixteen".