72608067 has 12 divisors (see below), whose sum is σ = 119861040. Its totient is φ = 41490288.

The previous prime is 72608057. The next prime is 72608087. The reversal of 72608067 is 76080627.

It is not a de Polignac number, because 72608067 - 2⁴ = 72608051 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72608027) 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, 576192 + ... + 576317.

It is an arithmetic number, because the mean of its divisors is an integer number (9988420).

Almost surely, 2^72608067 is an apocalyptic number.

72608067 is a deficient number, since it is larger than the sum of its proper divisors (47252973).

72608067 is a wasteful number, since it uses less digits than its factorization.

72608067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152522 (or 1152519 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 72608067 is about 8521.0367326987. The cubic root of 72608067 is about 417.1846222837.

The spelling of 72608067 in words is "seventy-two million, six hundred eight thousand, sixty-seven".