21272832 has 108 divisors (see below), whose sum is σ = 70150080. Its totient is φ = 6073344.

The previous prime is 21272821. The next prime is 21272843. The reversal of 21272832 is 23827212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21272821) and next prime (21272843).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21272796 and 21272805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15469 + ... + 16787.

Almost surely, 2^21272832 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 21272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35075040).

21272832 is an abundant number, since it is smaller than the sum of its proper divisors (48877248).

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

21272832 is a wasteful number, since it uses less digits than its factorization.

21272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1331 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 21272832 is about 4612.2480418989. The cubic root of 21272832 is about 277.0820784888.

The spelling of 21272832 in words is "twenty-one million, two hundred seventy-two thousand, eight hundred thirty-two".