272910240 has 144 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 71824896.

The previous prime is 272910221. The next prime is 272910259. The reversal of 272910240 is 42019272.

It is an interprime number because it is at equal distance from previous prime (272910221) and next prime (272910259).

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, 112561 + ... + 114959.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^272910240 is an apocalyptic number.

272910240 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 272910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

272910240 is an abundant number, since it is smaller than the sum of its proper divisors (670577760).

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

272910240 is a wasteful number, since it uses less digits than its factorization.

272910240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 272910240 is about 16519.9951573843. The cubic root of 272910240 is about 648.6443065700.

The spelling of 272910240 in words is "two hundred seventy-two million, nine hundred ten thousand, two hundred forty".