21665072 has 80 divisors (see below), whose sum is σ = 52309152. Its totient is φ = 8540160.

The previous prime is 21665071. The next prime is 21665087. The reversal of 21665072 is 27056612.

It is not an unprimeable number, because it can be changed into a prime (21665071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38618 + ... + 39174.

Almost surely, 2^21665072 is an apocalyptic number.

21665072 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 21665072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26154576).

21665072 is an abundant number, since it is smaller than the sum of its proper divisors (30644080).

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

21665072 is a wasteful number, since it uses less digits than its factorization.

21665072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 21665072 is about 4654.5753834265. The cubic root of 21665072 is about 278.7747139704.

The spelling of 21665072 in words is "twenty-one million, six hundred sixty-five thousand, seventy-two".