72866641044097 has 16 divisors (see below), whose sum is σ = 74753523084240. Its totient is φ = 70984988928000.

The previous prime is 72866641044059. The next prime is 72866641044173. The reversal of 72866641044097 is 79044014666827.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 119661338241 + 72746979705856 = 345921^2 + 8529184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72866641044097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72866641044007) 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, 1008456823 + ... + 1008529075.

It is an arithmetic number, because the mean of its divisors is an integer number (4672095192765).

Almost surely, 2^{72866641044097} is an apocalyptic number.

It is an amenable number.

72866641044097 is a deficient number, since it is larger than the sum of its proper divisors (1886882040143).

72866641044097 is a wasteful number, since it uses less digits than its factorization.

72866641044097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108084.

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 72866641044097 in words is "seventy-two trillion, eight hundred sixty-six billion, six hundred forty-one million, forty-four thousand, ninety-seven".