20131072 has 72 divisors (see below), whose sum is σ = 45327744. Its totient is φ = 8853504.

The previous prime is 20131061. The next prime is 20131079. The reversal of 20131072 is 27013102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76413 + ... + 76675.

It is an arithmetic number, because the mean of its divisors is an integer number (629552).

Almost surely, 2^20131072 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 20131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663872).

20131072 is an abundant number, since it is smaller than the sum of its proper divisors (25196672).

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

20131072 is a wasteful number, since it uses less digits than its factorization.

20131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20131072 is about 4486.7663188537. The cubic root of 20131072 is about 272.0334445611.

Adding to 20131072 its reverse (27013102), we get a palindrome (47144174).

The spelling of 20131072 in words is "twenty million, one hundred thirty-one thousand, seventy-two".