272864160 has 192 divisors, whose sum is σ = 967800960. Its totient is φ = 71792640.

The previous prime is 272864099. The next prime is 272864167. The reversal of 272864160 is 61468272.

272864160 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 641 + 6 + 0 = 666.

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 (272864167) 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, 358180 + ... + 358940.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2^272864160 is an apocalyptic number.

272864160 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 272864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483900480).

272864160 is an abundant number, since it is smaller than the sum of its proper divisors (694936800).

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

272864160 is a wasteful number, since it uses less digits than its factorization.

272864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

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

The square root of 272864160 is about 16518.6004249755. The cubic root of 272864160 is about 648.6077973597.

The spelling of 272864160 in words is "two hundred seventy-two million, eight hundred sixty-four thousand, one hundred sixty".