67120128 has 66 divisors (see below), whose sum is σ = 193834524. Its totient is φ = 22370304.

The previous prime is 67120117. The next prime is 67120153. The reversal of 67120128 is 82102176.

It is a super-2 number, since 2×67120128² = 9010223165472768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5575 + ... + 12857.

Almost surely, 2^67120128 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 67120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96917262).

67120128 is an abundant number, since it is smaller than the sum of its proper divisors (126714396).

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

67120128 is a wasteful number, since it uses less digits than its factorization.

67120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 67120128 is about 8192.6874711538. The cubic root of 67120128 is about 406.3974042449.

The spelling of 67120128 in words is "sixty-seven million, one hundred twenty thousand, one hundred twenty-eight".