272431080 has 128 divisors (see below), whose sum is σ = 913507200. Its totient is φ = 72216576.

The previous prime is 272431079. The next prime is 272431121. The reversal of 272431080 is 80134272.

272431080 is a `hidden beast` number, since 272 + 4 + 310 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207787 + ... + 209093.

It is an arithmetic number, because the mean of its divisors is an integer number (7136775).

Almost surely, 2^272431080 is an apocalyptic number.

272431080 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 272431080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456753600).

272431080 is an abundant number, since it is smaller than the sum of its proper divisors (641076120).

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

272431080 is a wasteful number, since it uses less digits than its factorization.

272431080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272431080 is about 16505.4863606014. The cubic root of 272431080 is about 648.2644668090.

The spelling of 272431080 in words is "two hundred seventy-two million, four hundred thirty-one thousand, eighty".