20772 has 18 divisors (see below), whose sum is σ = 52598. Its totient is φ = 6912.

The previous prime is 20771. The next prime is 20773. The reversal of 20772 is 27702.

It is an interprime number because it is at equal distance from previous prime (20771) and next prime (20773).

It can be written as a sum of positive squares in only one way, i.e., 20736 + 36 = 144^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (20771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253 + ... + 324.

2²⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

20772 is an abundant number, since it is smaller than the sum of its proper divisors (31826).

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

20772 is a wasteful number, since it uses less digits than its factorization.

20772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 20772 is about 144.1249457936. The cubic root of 20772 is about 27.4890314384.

The spelling of 20772 in words is "twenty thousand, seven hundred seventy-two", and thus it is an iban number.