272741929009 has 27 divisors (see below), whose sum is σ = 302575699713. Its totient is φ = 245664988800.

The previous prime is 272741928983. The next prime is 272741929013. The reversal of 272741929009 is 900929147272.

The square root of 272741929009 is 522247.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 169204709025 + 103537219984 = 411345^2 + 321772^2 .

It is not a de Polignac number, because 272741929009 - 2⁹ = 272741928497 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272741929069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1131709129 + ... + 1131709369.

Almost surely, 2^272741929009 is an apocalyptic number.

272741929009 is the 522247-th square number.

272741929009 is the 261124-th centered octagonal number.

It is an amenable number.

272741929009 is a deficient number, since it is larger than the sum of its proper divisors (29833770704).

272741929009 is an frugal number, since it uses more digits than its factorization.

272741929009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 272741929009 in words is "two hundred seventy-two billion, seven hundred forty-one million, nine hundred twenty-nine thousand, nine".