72967865241601 has 16 divisors (see below), whose sum is σ = 84286007906688. Its totient is φ = 62430716204800.

The previous prime is 72967865241599. The next prime is 72967865241671. The reversal of 72967865241601 is 10614256876927.

It is a cyclic number.

It is not a de Polignac number, because 72967865241601 - 2¹ = 72967865241599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72967865241671) 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, 1729116 + ... + 12203506.

It is an arithmetic number, because the mean of its divisors is an integer number (5267875494168).

Almost surely, 2^{72967865241601} is an apocalyptic number.

It is an amenable number.

72967865241601 is a deficient number, since it is larger than the sum of its proper divisors (11318142665087).

72967865241601 is a wasteful number, since it uses less digits than its factorization.

72967865241601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511672.

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 72967865241601 in words is "seventy-two trillion, nine hundred sixty-seven billion, eight hundred sixty-five million, two hundred forty-one thousand, six hundred one".