72114580121 has 8 divisors (see below), whose sum is σ = 76525421760. Its totient is φ = 67810023952.

The previous prime is 72114580079. The next prime is 72114580147. The reversal of 72114580121 is 12108541127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72114580121 - 2²⁶ = 72047471257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72114588121) 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 7 ways as a sum of consecutive naturals, for example, 26569970 + ... + 26572683.

It is an arithmetic number, because the mean of its divisors is an integer number (9565677720).

Almost surely, 2^72114580121 is an apocalyptic number.

It is an amenable number.

72114580121 is a deficient number, since it is larger than the sum of its proper divisors (4410841639).

72114580121 is a wasteful number, since it uses less digits than its factorization.

72114580121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53142735.

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 72114580121 in words is "seventy-two billion, one hundred fourteen million, five hundred eighty thousand, one hundred twenty-one".