67089072 has 40 divisors (see below), whose sum is σ = 183510576. Its totient is φ = 21047296.

The previous prime is 67089059. The next prime is 67089097. The reversal of 67089072 is 27098076.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67089072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40293 + ... + 41924.

Almost surely, 2^67089072 is an apocalyptic number.

It is an amenable number.

67089072 is an abundant number, since it is smaller than the sum of its proper divisors (116421504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67089072 is a wasteful number, since it uses less digits than its factorization.

67089072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82245 (or 82239 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 67089072 is about 8190.7919031068. The cubic root of 67089072 is about 406.3347155243.

The spelling of 67089072 in words is "sixty-seven million, eighty-nine thousand, seventy-two".