72672336147101 has 16 divisors (see below), whose sum is σ = 75603804572160. Its totient is φ = 69778106192640.

The previous prime is 72672336147091. The next prime is 72672336147109. The reversal of 72672336147101 is 10174163327627.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72672336147101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72672336147101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72672336147109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612545 + ... + 12585513.

It is an arithmetic number, because the mean of its divisors is an integer number (4725237785760).

Almost surely, 2^{72672336147101} is an apocalyptic number.

It is an amenable number.

72672336147101 is a deficient number, since it is larger than the sum of its proper divisors (2931468425059).

72672336147101 is a wasteful number, since it uses less digits than its factorization.

72672336147101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975044.

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 72672336147101 in words is "seventy-two trillion, six hundred seventy-two billion, three hundred thirty-six million, one hundred forty-seven thousand, one hundred one".