272738752 has 112 divisors (see below), whose sum is σ = 673620192. Its totient is φ = 107642880.

The previous prime is 272738717. The next prime is 272738777. The reversal of 272738752 is 257837272.

It is a junction number, because it is equal to n+sod(n) for n = 272738699 and 272738708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154708 + ... + 156460.

It is an arithmetic number, because the mean of its divisors is an integer number (6014466).

Almost surely, 2^272738752 is an apocalyptic number.

272738752 is a gapful number since it is divisible by the number (22) 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 272738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336810096).

272738752 is an abundant number, since it is smaller than the sum of its proper divisors (400881440).

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

272738752 is a wasteful number, since it uses less digits than its factorization.

272738752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1796 counting only the distinct ones).

The product of its digits is 329280, while the sum is 43.

The square root of 272738752 is about 16514.8040254797. The cubic root of 272738752 is about 648.5084157099.

The spelling of 272738752 in words is "two hundred seventy-two million, seven hundred thirty-eight thousand, seven hundred fifty-two".