72948806201627 has 8 divisors (see below), whose sum is σ = 73657452950016. Its totient is φ = 72240167259432.

The previous prime is 72948806201591. The next prime is 72948806201647. The reversal of 72948806201627 is 72610260884927.

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 72948806201627 - 2²⁸ = 72948537766171 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72948806201627.

It is not an unprimeable number, because it can be changed into a prime (72948806201647) 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, 17794958 + ... + 21507164.

It is an arithmetic number, because the mean of its divisors is an integer number (9207181618752).

Almost surely, 2^{72948806201627} is an apocalyptic number.

72948806201627 is a deficient number, since it is larger than the sum of its proper divisors (708646748389).

72948806201627 is a wasteful number, since it uses less digits than its factorization.

72948806201627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903097.

The product of its (nonzero) digits is 32514048, while the sum is 62.

The spelling of 72948806201627 in words is "seventy-two trillion, nine hundred forty-eight billion, eight hundred six million, two hundred one thousand, six hundred twenty-seven".