272542580 has 96 divisors (see below), whose sum is σ = 618740640. Its totient is φ = 100638720.

The previous prime is 272542573. The next prime is 272542583. The reversal of 272542580 is 85245272.

It can be written as a sum of positive squares in 16 ways, for example, as 141943396 + 130599184 = 11914^2 + 11428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 272542580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272542583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735862 + ... + 1736018.

It is an arithmetic number, because the mean of its divisors is an integer number (6445215).

Almost surely, 2^272542580 is an apocalyptic number.

272542580 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 272542580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309370320).

272542580 is an abundant number, since it is smaller than the sum of its proper divisors (346198060).

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

272542580 is a wasteful number, since it uses less digits than its factorization.

272542580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 272542580 is about 16508.8636798539. The cubic root of 272542580 is about 648.3528948367.

The spelling of 272542580 in words is "two hundred seventy-two million, five hundred forty-two thousand, five hundred eighty".