272032960 has 84 divisors (see below), whose sum is σ = 677588688. Its totient is φ = 104017408.

The previous prime is 272032951. The next prime is 272032961. The reversal of 272032960 is 69230272.

It is not an unprimeable number, because it can be changed into a prime (272032961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168477 + ... + 170083.

It is an arithmetic number, because the mean of its divisors is an integer number (8066532).

Almost surely, 2^272032960 is an apocalyptic number.

272032960 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 272032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338794344).

272032960 is an abundant number, since it is smaller than the sum of its proper divisors (405555728).

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

272032960 is a wasteful number, since it uses less digits than its factorization.

272032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 272032960 is about 16493.4217189763. The cubic root of 272032960 is about 647.9485301801.

The spelling of 272032960 in words is "two hundred seventy-two million, thirty-two thousand, nine hundred sixty".