272042566929 has 135 divisors (see below), whose sum is σ = 503209941003. Its totient is φ = 146008179072.

The previous prime is 272042566927. The next prime is 272042566931. The reversal of 272042566929 is 929665240272.

The square root of 272042566929 is 521577.

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

272042566929 is a `hidden beast` number, since 2 + 72 + 0 + 4 + 2 + 566 + 9 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (272042566927) and next prime (272042566931).

It can be written as a sum of positive squares in only one way, i.e., 211797846225 + 60244720704 = 460215^2 + 245448^2 .

It is not a de Polignac number, because 272042566929 - 2¹ = 272042566927 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (272042566921) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 558608724 + ... + 558609210.

Almost surely, 2^272042566929 is an apocalyptic number.

272042566929 is the 521577-th square number.

272042566929 is the 260789-th centered octagonal number.

It is an amenable number.

272042566929 is a deficient number, since it is larger than the sum of its proper divisors (231167374074).

272042566929 is an frugal number, since it uses more digits than its factorization.

272042566929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 272042566929 in words is "two hundred seventy-two billion, forty-two million, five hundred sixty-six thousand, nine hundred twenty-nine".