72115061161201 has 8 divisors (see below), whose sum is σ = 73874172923208. Its totient is φ = 70355959296000.

The previous prime is 72115061161139. The next prime is 72115061161223. The reversal of 72115061161201 is 10216116051127.

It can be written as a sum of positive squares in 4 ways, for example, as 204915560976 + 71910145600225 = 452676^2 + 8479985^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72115061161201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72115061161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13523281 + ... + 18086161.

It is an arithmetic number, because the mean of its divisors is an integer number (9234271615401).

Almost surely, 2^{72115061161201} is an apocalyptic number.

It is an amenable number.

72115061161201 is a deficient number, since it is larger than the sum of its proper divisors (1759111762007).

72115061161201 is a wasteful number, since it uses less digits than its factorization.

72115061161201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948403.

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 72115061161201 in words is "seventy-two trillion, one hundred fifteen billion, sixty-one million, one hundred sixty-one thousand, two hundred one".