272055168 has 192 divisors, whose sum is σ = 976360320. Its totient is φ = 70640640.

The previous prime is 272055151. The next prime is 272055169. The reversal of 272055168 is 861550272.

It is a happy number.

272055168 is a `hidden beast` number, since 27 + 20 + 551 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272055169) 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, 87171 + ... + 90237.

It is an arithmetic number, because the mean of its divisors is an integer number (5085210).

Almost surely, 2^272055168 is an apocalyptic number.

272055168 is a gapful number since it is divisible by the number (28) 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 272055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488180160).

272055168 is an abundant number, since it is smaller than the sum of its proper divisors (704305152).

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

272055168 is a wasteful number, since it uses less digits than its factorization.

272055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 272055168 is about 16494.0949433426. The cubic root of 272055168 is about 647.9661619276.

The spelling of 272055168 in words is "two hundred seventy-two million, fifty-five thousand, one hundred sixty-eight".