272852992 has 72 divisors (see below), whose sum is σ = 580810230. Its totient is φ = 128122880.

The previous prime is 272852989. The next prime is 272852999. The reversal of 272852992 is 299258272.

It can be written as a sum of positive squares in 3 ways, for example, as 263218176 + 9634816 = 16224^2 + 3104^2 .

Its product of digits (362880) is a multiple of the sum of its prime divisors (480).

It is not an unprimeable number, because it can be changed into a prime (272852999) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 591642 + ... + 592102.

Almost surely, 2^272852992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290405115).

272852992 is an abundant number, since it is smaller than the sum of its proper divisors (307957238).

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

272852992 is an equidigital number, since it uses as much as digits as its factorization.

272852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 480 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 272852992 is about 16518.2623783496. The cubic root of 272852992 is about 648.5989483281.

It can be divided in two parts, 272 and 852992, that multiplied together give a square (232013824 = 15232²).

The spelling of 272852992 in words is "two hundred seventy-two million, eight hundred fifty-two thousand, nine hundred ninety-two".