23752000 has 56 divisors (see below), whose sum is σ = 58841640. Its totient is φ = 9497600.

The previous prime is 23751991. The next prime is 23752007. The reversal of 23752000 is 25732.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6843456 + 16908544 = 2616^2 + 4112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23752007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6516 + ... + 9484.

Almost surely, 2^23752000 is an apocalyptic number.

23752000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29420820).

23752000 is an abundant number, since it is smaller than the sum of its proper divisors (35089640).

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

23752000 is an equidigital number, since it uses as much as digits as its factorization.

23752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 23752000 is about 4873.6023637552. The cubic root of 23752000 is about 287.4529223482.

Adding to 23752000 its reverse (25732), we get a palindrome (23777732).

The spelling of 23752000 in words is "twenty-three million, seven hundred fifty-two thousand".