272490240 has 144 divisors (see below), whose sum is σ = 949527936. Its totient is φ = 66048000.

The previous prime is 272490227. The next prime is 272490241. The reversal of 272490240 is 42094272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 272490198 and 272490207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272490241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39015 + ... + 45465.

It is an arithmetic number, because the mean of its divisors is an integer number (6593944).

Almost surely, 2^272490240 is an apocalyptic number.

272490240 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 272490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474763968).

272490240 is an abundant number, since it is smaller than the sum of its proper divisors (677037696).

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

272490240 is a wasteful number, since it uses less digits than its factorization.

272490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 272490240 is about 16507.2783946961. The cubic root of 272490240 is about 648.3113882177.

The spelling of 272490240 in words is "two hundred seventy-two million, four hundred ninety thousand, two hundred forty".