67753222272 has 72 divisors (see below), whose sum is σ = 194992380765. Its totient is φ = 22581462528.

The previous prime is 67753222267. The next prime is 67753222291. The reversal of 67753222272 is 27222235776.

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.

67753222272 is a `hidden beast` number, since 6 + 77 + 532 + 22 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48848072256 + 18905150016 = 221016^2 + 137496^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=184056.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 8830854 + ... + 8838522.

Almost surely, 2^67753222272 is an apocalyptic number.

It is an amenable number.

67753222272 is an abundant number, since it is smaller than the sum of its proper divisors (127239158493).

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

67753222272 is an frugal number, since it uses more digits than its factorization.

67753222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15358 (or 7674 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The spelling of 67753222272 in words is "sixty-seven billion, seven hundred fifty-three million, two hundred twenty-two thousand, two hundred seventy-two".