272305440 has 144 divisors (see below), whose sum is σ = 1013777856. Its totient is φ = 66009600.

The previous prime is 272305391. The next prime is 272305493. The reversal of 272305440 is 44503272.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7245 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (7040124).

Almost surely, 2^272305440 is an apocalyptic number.

272305440 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 272305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506888928).

272305440 is an abundant number, since it is smaller than the sum of its proper divisors (741472416).

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

272305440 is a wasteful number, since it uses less digits than its factorization.

272305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17223 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 272305440 is about 16501.6799144814. The cubic root of 272305440 is about 648.1647957637.

The spelling of 272305440 in words is "two hundred seventy-two million, three hundred five thousand, four hundred forty".