272782340 has 48 divisors (see below), whose sum is σ = 609828912. Its totient is φ = 102137856.

The previous prime is 272782337. The next prime is 272782351. The reversal of 272782340 is 43287272.

It can be written as a sum of positive squares in 8 ways, for example, as 1784896 + 270997444 = 1336^2 + 16462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 272782340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63542 + ... + 67698.

It is an arithmetic number, because the mean of its divisors is an integer number (12704769).

Almost surely, 2^272782340 is an apocalyptic number.

272782340 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 272782340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304914456).

272782340 is an abundant number, since it is smaller than the sum of its proper divisors (337046572).

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

272782340 is a wasteful number, since it uses less digits than its factorization.

272782340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 272782340 is about 16516.1236372219. The cubic root of 272782340 is about 648.5429611970.

The spelling of 272782340 in words is "two hundred seventy-two million, seven hundred eighty-two thousand, three hundred forty".