272132532 has 144 divisors (see below), whose sum is σ = 840228480. Its totient is φ = 72493056.

The previous prime is 272132519. The next prime is 272132533. The reversal of 272132532 is 235231272.

It is a happy number.

It is a super-2 number, since 2×272132532² = 148112229945462048, which contains 22 as substring.

Its product of digits (5040) is a multiple of the sum of its prime factors (630).

It is a junction number, because it is equal to n+sod(n) for n = 272132496 and 272132505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272132533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595248 + ... + 595704.

It is an arithmetic number, because the mean of its divisors is an integer number (5834920).

Almost surely, 2^272132532 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 272132532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420114240).

272132532 is an abundant number, since it is smaller than the sum of its proper divisors (568095948).

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

272132532 is a wasteful number, since it uses less digits than its factorization.

272132532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 272132532 is about 16496.4399795835. The cubic root of 272132532 is about 648.0275765585.

It can be divided in two parts, 2721 and 32532, that added together give a palindrome (35253).

The spelling of 272132532 in words is "two hundred seventy-two million, one hundred thirty-two thousand, five hundred thirty-two".