272799072 has 216 divisors, whose sum is σ = 972500256. Its totient is φ = 71898624.

The previous prime is 272799053. The next prime is 272799073. The reversal of 272799072 is 270997272.

It is a super-2 number, since 2×272799072² = 148838667368122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272799073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182713 + ... + 184199.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^272799072 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 272799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128).

272799072 is an abundant number, since it is smaller than the sum of its proper divisors (699701184).

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

272799072 is a wasteful number, since it uses less digits than its factorization.

272799072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 272799072 is about 16516.6301647763. The cubic root of 272799072 is about 648.5562210962.

The spelling of 272799072 in words is "two hundred seventy-two million, seven hundred ninety-nine thousand, seventy-two".