272581332 has 72 divisors (see below), whose sum is σ = 688849056. Its totient is φ = 83845632.

The previous prime is 272581327. The next prime is 272581333. The reversal of 272581332 is 233185272.

It is a junction number, because it is equal to n+sod(n) for n = 272581293 and 272581302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272581333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183063 + ... + 184545.

It is an arithmetic number, because the mean of its divisors is an integer number (9567348).

Almost surely, 2^272581332 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 272581332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344424528).

272581332 is an abundant number, since it is smaller than the sum of its proper divisors (416267724).

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

272581332 is a wasteful number, since it uses less digits than its factorization.

272581332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1558 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 272581332 is about 16510.0373106786. The cubic root of 272581332 is about 648.3836224887.

The spelling of 272581332 in words is "two hundred seventy-two million, five hundred eighty-one thousand, three hundred thirty-two".