20085072 has 120 divisors (see below), whose sum is σ = 62537664. Its totient is φ = 5440512.

The previous prime is 20085067. The next prime is 20085089. The reversal of 20085072 is 27058002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 177688 + ... + 177800.

Almost surely, 2^20085072 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 20085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31268832).

20085072 is an abundant number, since it is smaller than the sum of its proper divisors (42452592).

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

20085072 is a wasteful number, since it uses less digits than its factorization.

20085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 20085072 is about 4481.6372008452. The cubic root of 20085072 is about 271.8260854793.

The spelling of 20085072 in words is "twenty million, eighty-five thousand, seventy-two".