272334240 has 144 divisors (see below), whose sum is σ = 933660000. Its totient is φ = 72285696.

The previous prime is 272334233. The next prime is 272334253. The reversal of 272334240 is 42433272.

272334240 is a `hidden beast` number, since 2 + 7 + 233 + 424 + 0 = 666.

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, 545511 + ... + 546009.

It is an arithmetic number, because the mean of its divisors is an integer number (6483750).

Almost surely, 2^272334240 is an apocalyptic number.

272334240 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 272334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830000).

272334240 is an abundant number, since it is smaller than the sum of its proper divisors (661325760).

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

272334240 is a wasteful number, since it uses less digits than its factorization.

272334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 272334240 is about 16502.5525298361. The cubic root of 272334240 is about 648.1876457027.

It can be divided in two parts, 2723 and 34240, that added together give a palindrome (36963).

The spelling of 272334240 in words is "two hundred seventy-two million, three hundred thirty-four thousand, two hundred forty".