72675836687567 has 16 divisors (see below), whose sum is σ = 73703326824960. Its totient is φ = 71649216626112.

The previous prime is 72675836687551. The next prime is 72675836687599. The reversal of 72675836687567 is 76578663857627.

It is a cyclic number.

It is not a de Polignac number, because 72675836687567 - 2⁴ = 72675836687551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72675836687527) 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, 1877569628 + ... + 1877608334.

It is an arithmetic number, because the mean of its divisors is an integer number (4606457926560).

Almost surely, 2^{72675836687567} is an apocalyptic number.

72675836687567 is a deficient number, since it is larger than the sum of its proper divisors (1027490137393).

72675836687567 is a wasteful number, since it uses less digits than its factorization.

72675836687567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49262.

The product of its digits is 29872281600, while the sum is 83.

The spelling of 72675836687567 in words is "seventy-two trillion, six hundred seventy-five billion, eight hundred thirty-six million, six hundred eighty-seven thousand, five hundred sixty-seven".