22736 has 30 divisors (see below), whose sum is σ = 53010. Its totient is φ = 9408.

The previous prime is 22727. The next prime is 22739. The reversal of 22736 is 63722.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 3136 = 140^2 + 56^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22739) by changing a digit.

22736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 770 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (1767).

2²²⁷³⁶ 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 22736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505).

22736 is an abundant number, since it is smaller than the sum of its proper divisors (30274).

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

22736 is a wasteful number, since it uses less digits than its factorization.

22736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 38 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 22736 is about 150.7846145998. The cubic root of 22736 is about 28.3294419877.

The spelling of 22736 in words is "twenty-two thousand, seven hundred thirty-six".