72968867 has 2 divisors, whose sum is σ = 72968868. Its totient is φ = 72968866.

The previous prime is 72968849. The next prime is 72968891. The reversal of 72968867 is 76886927.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72968867 - 2¹⁶ = 72903331 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72968827) 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 as a sum of consecutive naturals, namely, 36484433 + 36484434.

It is an arithmetic number, because the mean of its divisors is an integer number (36484434).

Almost surely, 2^72968867 is an apocalyptic number.

72968867 is a deficient number, since it is larger than the sum of its proper divisors (1).

72968867 is an equidigital number, since it uses as much as digits as its factorization.

72968867 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2032128, while the sum is 53.

The square root of 72968867 is about 8542.1816300053. The cubic root of 72968867 is about 417.8744977802.

It can be divided in two parts, 729 and 68867, that added together give a palindrome (69596).

The spelling of 72968867 in words is "seventy-two million, nine hundred sixty-eight thousand, eight hundred sixty-seven".