272560320 has 336 divisors, whose sum is σ = 1048451040. Its totient is φ = 64585728.

The previous prime is 272560283. The next prime is 272560361. The reversal of 272560320 is 23065272.

272560320 is a `hidden beast` number, since 2 + 72 + 560 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930094 + ... + 930386.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^272560320 is an apocalyptic number.

272560320 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 272560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

272560320 is an abundant number, since it is smaller than the sum of its proper divisors (775890720).

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

272560320 is a wasteful number, since it uses less digits than its factorization.

272560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 272560320 is about 16509.4009582419. The cubic root of 272560320 is about 648.3669617894.

The spelling of 272560320 in words is "two hundred seventy-two million, five hundred sixty thousand, three hundred twenty".