67465728 has 150 divisors (see below), whose sum is σ = 214180395. Its totient is φ = 20444160.

The previous prime is 67465711. The next prime is 67465757. The reversal of 67465728 is 82756476.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

67465728 is a `hidden beast` number, since 6 + 74 + 6 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 33732864 = 5808^2 + 5808^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5808.

Its product of digits (564480) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6133243 + ... + 6133253.

Almost surely, 2^67465728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67465728

67465728 is an abundant number, since it is smaller than the sum of its proper divisors (146714667).

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

67465728 is an frugal number, since it uses more digits than its factorization.

67465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 16 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 67465728 is about 8213.7523702629. The cubic root of 67465728 is about 407.0937208081.

The spelling of 67465728 in words is "sixty-seven million, four hundred sixty-five thousand, seven hundred twenty-eight".