72516267 has 12 divisors (see below), whose sum is σ = 105050400. Its totient is φ = 48203568.

The previous prime is 72516209. The next prime is 72516277. The reversal of 72516267 is 76261527.

72516267 is a `hidden beast` number, since 7 + 25 + 1 + 626 + 7 = 666.

It is not a de Polignac number, because 72516267 - 2¹¹ = 72514219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72516277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8403 + ... + 14684.

It is an arithmetic number, because the mean of its divisors is an integer number (8754200).

Almost surely, 2^72516267 is an apocalyptic number.

72516267 is a deficient number, since it is larger than the sum of its proper divisors (32534133).

72516267 is a wasteful number, since it uses less digits than its factorization.

72516267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23442 (or 23439 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72516267 is about 8515.6483605184. The cubic root of 72516267 is about 417.0087295241.

The spelling of 72516267 in words is "seventy-two million, five hundred sixteen thousand, two hundred sixty-seven".