67005072 has 60 divisors (see below), whose sum is σ = 195683904. Its totient is φ = 21362880.

The previous prime is 67005067. The next prime is 67005119. The reversal of 67005072 is 27050076.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6804 + ... + 13427.

Almost surely, 2^67005072 is an apocalyptic number.

It is an amenable number.

67005072 is an abundant number, since it is smaller than the sum of its proper divisors (128678832).

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

67005072 is a wasteful number, since it uses less digits than its factorization.

67005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268 (or 20259 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 67005072 is about 8185.6625877201. The cubic root of 67005072 is about 406.1650586277.

The spelling of 67005072 in words is "sixty-seven million, five thousand, seventy-two".