272536352 has 48 divisors (see below), whose sum is σ = 591095232. Its totient is φ = 122661120.

The previous prime is 272536351. The next prime is 272536357. The reversal of 272536352 is 253635272.

It is a super-2 number, since 2×272536352² = 148552126322935808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272536351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32498 + ... + 40014.

It is an arithmetic number, because the mean of its divisors is an integer number (12314484).

Almost surely, 2^272536352 is an apocalyptic number.

272536352 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 272536352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295547616).

272536352 is an abundant number, since it is smaller than the sum of its proper divisors (318558880).

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

272536352 is a wasteful number, since it uses less digits than its factorization.

272536352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7633 counting only the distinct ones).

The product of its digits is 75600, while the sum is 35.

The square root of 272536352 is about 16508.6750528321. The cubic root of 272536352 is about 648.3479561923.

The spelling of 272536352 in words is "two hundred seventy-two million, five hundred thirty-six thousand, three hundred fifty-two".