272442240 has 384 divisors, whose sum is σ = 1117022400. Its totient is φ = 59867136.

The previous prime is 272442227. The next prime is 272442259. The reversal of 272442240 is 42244272.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 1169164 + ... + 1169396.

Almost surely, 2^272442240 is an apocalyptic number.

272442240 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 272442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558511200).

272442240 is an abundant number, since it is smaller than the sum of its proper divisors (844580160).

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

272442240 is a wasteful number, since it uses less digits than its factorization.

272442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 272442240 is about 16505.8244265471. The cubic root of 272442240 is about 648.2733186290.

The spelling of 272442240 in words is "two hundred seventy-two million, four hundred forty-two thousand, two hundred forty".