23782752 has 144 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 6624000.

The previous prime is 23782739. The next prime is 23782753. The reversal of 23782752 is 25728732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23782753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94627 + ... + 94877.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^23782752 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 23782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

23782752 is an abundant number, since it is smaller than the sum of its proper divisors (55470240).

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

23782752 is a wasteful number, since it uses less digits than its factorization.

23782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 23782752 is about 4876.7562990168. The cubic root of 23782752 is about 287.5769250993.

The spelling of 23782752 in words is "twenty-three million, seven hundred eighty-two thousand, seven hundred fifty-two".