72968967 has 12 divisors (see below), whose sum is σ = 105490840. Its totient is φ = 48603888.

The previous prime is 72968953. The next prime is 72968977. The reversal of 72968967 is 76986927.

It is not a de Polignac number, because 72968967 - 2⁷ = 72968839 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 (72968977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10353 + ... + 15909.

Almost surely, 2^72968967 is an apocalyptic number.

72968967 is a deficient number, since it is larger than the sum of its proper divisors (32521873).

72968967 is a wasteful number, since it uses less digits than its factorization.

72968967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7019 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 72968967 is about 8542.1874833089. The cubic root of 72968967 is about 417.8746886718.

It can be divided in two parts, 729 and 68967, that added together give a palindrome (69696).

The spelling of 72968967 in words is "seventy-two million, nine hundred sixty-eight thousand, nine hundred sixty-seven".