72267110216641 has 8 divisors (see below), whose sum is σ = 73372959679104. Its totient is φ = 71162061809520.

The previous prime is 72267110216621. The next prime is 72267110216659. The reversal of 72267110216641 is 14661201176227.

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-72267110216641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72267110216591 and 72267110216600.

It is not an unprimeable number, because it can be changed into a prime (72267110216611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200082025 + ... + 200442886.

It is an arithmetic number, because the mean of its divisors is an integer number (9171619959888).

Almost surely, 2^{72267110216641} is an apocalyptic number.

It is an amenable number.

72267110216641 is a deficient number, since it is larger than the sum of its proper divisors (1105849462463).

72267110216641 is a wasteful number, since it uses less digits than its factorization.

72267110216641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400527671.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 72267110216641 in words is "seventy-two trillion, two hundred sixty-seven billion, one hundred ten million, two hundred sixteen thousand, six hundred forty-one".