72437416367067 has 96 divisors (see below), whose sum is σ = 107858167971840. Its totient is φ = 46827168111360.

The previous prime is 72437416367053. The next prime is 72437416367089. The reversal of 72437416367067 is 76076361473427.

72437416367067 is a `hidden beast` number, since 7 + 2 + 437 + 41 + 6 + 36 + 70 + 67 = 666.

It is not a de Polignac number, because 72437416367067 - 2¹¹ = 72437416365019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72437416366995 and 72437416367013.

It is not an unprimeable number, because it can be changed into a prime (72437416367047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20929618717 + ... + 20929622177.

It is an arithmetic number, because the mean of its divisors is an integer number (1123522583040).

Almost surely, 2^{72437416367067} is an apocalyptic number.

72437416367067 is a deficient number, since it is larger than the sum of its proper divisors (35420751604773).

72437416367067 is a wasteful number, since it uses less digits than its factorization.

72437416367067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 63.

The spelling of 72437416367067 in words is "seventy-two trillion, four hundred thirty-seven billion, four hundred sixteen million, three hundred sixty-seven thousand, sixty-seven".