67775328 has 144 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 20901888.

The previous prime is 67775321. The next prime is 67775333. The reversal of 67775328 is 82357776.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67775321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533601 + ... + 533727.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^67775328 is an apocalyptic number.

67775328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67775328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

67775328 is an abundant number, since it is smaller than the sum of its proper divisors (139792032).

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

67775328 is a wasteful number, since it uses less digits than its factorization.

67775328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 67775328 is about 8232.5772392368. The cubic root of 67775328 is about 407.7154879208.

The spelling of 67775328 in words is "sixty-seven million, seven hundred seventy-five thousand, three hundred twenty-eight".