20385072 has 60 divisors (see below), whose sum is σ = 58148064. Its totient is φ = 6664320.

The previous prime is 20385067. The next prime is 20385083. The reversal of 20385072 is 27058302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6297 + ... + 8967.

Almost surely, 2^20385072 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 20385072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29074032).

20385072 is an abundant number, since it is smaller than the sum of its proper divisors (37762992).

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

20385072 is a wasteful number, since it uses less digits than its factorization.

20385072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2729 counting only the distinct ones).

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

The square root of 20385072 is about 4514.9830564466. The cubic root of 20385072 is about 273.1727763525.

The spelling of 20385072 in words is "twenty million, three hundred eighty-five thousand, seventy-two".