20035072 has 40 divisors (see below), whose sum is σ = 40510800. Its totient is φ = 9897984.

The previous prime is 20035051. The next prime is 20035109. The reversal of 20035072 is 27053002.

It is a happy number.

It is a super-2 number, since 2×20035072² = 802808220090368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55629 + ... + 55987.

It is an arithmetic number, because the mean of its divisors is an integer number (1012770).

Almost surely, 2^20035072 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 20035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

20035072 is an abundant number, since it is smaller than the sum of its proper divisors (20475728).

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

20035072 is an equidigital number, since it uses as much as digits as its factorization.

20035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 20035072 is about 4476.0554062701. The cubic root of 20035072 is about 271.6003357615.

Adding to 20035072 its reverse (27053002), we get a palindrome (47088074).

The spelling of 20035072 in words is "twenty million, thirty-five thousand, seventy-two".