22072 has 16 divisors (see below), whose sum is σ = 43200. Its totient is φ = 10560.

The previous prime is 22067. The next prime is 22073. The reversal of 22072 is 27022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22073) 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, 204 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2²²⁰⁷² is an apocalyptic number.

It is an amenable number.

22072 is a deficient number, since it is larger than the sum of its proper divisors (21128).

22072 is a wasteful number, since it uses less digits than its factorization.

22072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 22072 is about 148.5664834342. The cubic root of 22072 is about 28.0509277223.

Adding to 22072 its reverse (27022), we get a palindrome (49094).

Subtracting 22072 from its reverse (27022), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 2207 and 2, that added together give a square (2209 = 47²).

The spelling of 22072 in words is "twenty-two thousand, seventy-two", and thus it is an iban number.