272164068 has 72 divisors (see below), whose sum is σ = 768864096. Its totient is φ = 80457600.

The previous prime is 272164021. The next prime is 272164111. The reversal of 272164068 is 860461272.

272164068 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 640 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7855 + ... + 24617.

It is an arithmetic number, because the mean of its divisors is an integer number (10678668).

Almost surely, 2^272164068 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 272164068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384432048).

272164068 is an abundant number, since it is smaller than the sum of its proper divisors (496700028).

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

272164068 is a wasteful number, since it uses less digits than its factorization.

272164068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16825 (or 16820 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272164068 is about 16497.3957944883. The cubic root of 272164068 is about 648.0526077545.

The spelling of 272164068 in words is "two hundred seventy-two million, one hundred sixty-four thousand, sixty-eight".