20106072 has 144 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 5564160.

The previous prime is 20106061. The next prime is 20106089. The reversal of 20106072 is 27060102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144579 + ... + 144717.

Almost surely, 2^20106072 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 20106072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

20106072 is an abundant number, since it is smaller than the sum of its proper divisors (45250128).

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

20106072 is a wasteful number, since it uses less digits than its factorization.

20106072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20106072 is about 4483.9794825579. The cubic root of 20106072 is about 271.9207886415.

Adding to 20106072 its reverse (27060102), we get a palindrome (47166174).

The spelling of 20106072 in words is "twenty million, one hundred six thousand, seventy-two".