272729664 has 168 divisors, whose sum is σ = 819107328. Its totient is φ = 86676480.

The previous prime is 272729609. The next prime is 272729711. The reversal of 272729664 is 466927272.

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 23 ways as a sum of consecutive naturals, for example, 1427809 + ... + 1427999.

Almost surely, 2^272729664 is an apocalyptic number.

272729664 is a gapful number since it is divisible by the number (24) 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 272729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409553664).

272729664 is an abundant number, since it is smaller than the sum of its proper divisors (546377664).

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

272729664 is a wasteful number, since it uses less digits than its factorization.

272729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 272729664 is about 16514.5288761139. The cubic root of 272729664 is about 648.5012125898.

The spelling of 272729664 in words is "two hundred seventy-two million, seven hundred twenty-nine thousand, six hundred sixty-four".