20072 has 16 divisors (see below), whose sum is σ = 40740. Its totient is φ = 9216.

The previous prime is 20071. The next prime is 20089. The reversal of 20072 is 27002.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 2116 = 134^2 + 46^2 .

It is not an unprimeable number, because it can be changed into a prime (20071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 200.

2²⁰⁰⁷² 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 20072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20370).

20072 is an abundant number, since it is smaller than the sum of its proper divisors (20668).

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

20072 is a wasteful number, since it uses less digits than its factorization.

20072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 20072 is about 141.6756859874. The cubic root of 20072 is about 27.1767101677.

Adding to 20072 its product of nonzero digits (28), we get a triangular number (20100 = T₂₀₀).

Adding to 20072 its reverse (27002), we get a palindrome (47074).

It can be divided in two parts, 200 and 72, that multiplied together give a square (14400 = 120²).

The spelling of 20072 in words is "twenty thousand, seventy-two", and thus it is an iban number.