272264832 has 192 divisors, whose sum is σ = 943051200. Its totient is φ = 73654272.

The previous prime is 272264831. The next prime is 272264849. The reversal of 272264832 is 238462272.

It is a happy number.

272264832 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (272264831) 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 23 ways as a sum of consecutive naturals, for example, 152328 + ... + 154104.

It is an arithmetic number, because the mean of its divisors is an integer number (4911725).

Almost surely, 2^272264832 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 272264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471525600).

272264832 is an abundant number, since it is smaller than the sum of its proper divisors (670786368).

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

272264832 is a wasteful number, since it uses less digits than its factorization.

272264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1808 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 272264832 is about 16500.4494484241. The cubic root of 272264832 is about 648.1325746122.

The spelling of 272264832 in words is "two hundred seventy-two million, two hundred sixty-four thousand, eight hundred thirty-two".