72067116121 has 40 divisors (see below), whose sum is σ = 97568985920. Its totient is φ = 51835528800.

The previous prime is 72067116083. The next prime is 72067116131. The reversal of 72067116121 is 12161176027.

It is not a de Polignac number, because 72067116121 - 2⁹ = 72067115609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72067116131) 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 39 ways as a sum of consecutive naturals, for example, 1305286 + ... + 1359376.

It is an arithmetic number, because the mean of its divisors is an integer number (2439224648).

Almost surely, 2^72067116121 is an apocalyptic number.

It is an amenable number.

72067116121 is a deficient number, since it is larger than the sum of its proper divisors (25501869799).

72067116121 is an equidigital number, since it uses as much as digits as its factorization.

72067116121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54155 (or 54122 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 72067116121 in words is "seventy-two billion, sixty-seven million, one hundred sixteen thousand, one hundred twenty-one".