272520480 has 48 divisors (see below), whose sum is σ = 858441024. Its totient is φ = 72672000.

The previous prime is 272520431. The next prime is 272520497. The reversal of 272520480 is 84025272.

272520480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 283396 + ... + 284355.

It is an arithmetic number, because the mean of its divisors is an integer number (17884188).

Almost surely, 2^272520480 is an apocalyptic number.

272520480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272520480 is an abundant number, since it is smaller than the sum of its proper divisors (585920544).

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

272520480 is a wasteful number, since it uses less digits than its factorization.

272520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567769 (or 567761 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 272520480 is about 16508.1943288780. The cubic root of 272520480 is about 648.3353697631.

The spelling of 272520480 in words is "two hundred seventy-two million, five hundred twenty thousand, four hundred eighty".