272000160 has 192 divisors, whose sum is σ = 965260800. Its totient is φ = 71525376.

The previous prime is 272000149. The next prime is 272000167. The reversal of 272000160 is 61000272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (272000167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340882 + ... + 341678.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^272000160 is an apocalyptic number.

272000160 is a gapful number since it is divisible by the number (20) 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 272000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

272000160 is an abundant number, since it is smaller than the sum of its proper divisors (693260640).

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

272000160 is a wasteful number, since it uses less digits than its factorization.

272000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 272000160 is about 16492.4273531824. The cubic root of 272000160 is about 647.9224872991.

The spelling of 272000160 in words is "two hundred seventy-two million, one hundred sixty", and thus it is an aban number.