20583072 has 72 divisors (see below), whose sum is σ = 60723936. Its totient is φ = 6858432.

The previous prime is 20583071. The next prime is 20583089. The reversal of 20583072 is 27038502.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20583071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6453 + ... + 9099.

It is an arithmetic number, because the mean of its divisors is an integer number (843388).

Almost surely, 2^20583072 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 20583072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30361968).

20583072 is an abundant number, since it is smaller than the sum of its proper divisors (40140864).

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

20583072 is an equidigital number, since it uses as much as digits as its factorization.

20583072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20583072 is about 4536.8570618877. The cubic root of 20583072 is about 274.0543696608.

The spelling of 20583072 in words is "twenty million, five hundred eighty-three thousand, seventy-two".