23772 has 24 divisors (see below), whose sum is σ = 63616. Its totient is φ = 6768.

The previous prime is 23767. The next prime is 23773. The reversal of 23772 is 27732.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23773) by changing a digit.

23772 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 225.

2²³⁷⁷² is an apocalyptic number.

It is an amenable number.

23772 is an abundant number, since it is smaller than the sum of its proper divisors (39844).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31808).

23772 is a wasteful number, since it uses less digits than its factorization.

23772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its digits is 588, while the sum is 21.

The square root of 23772 is about 154.1817109777. The cubic root of 23772 is about 28.7533581459.

The spelling of 23772 in words is "twenty-three thousand, seven hundred seventy-two", and thus it is an iban number.