23272000 has 56 divisors (see below), whose sum is σ = 57652920. Its totient is φ = 9305600.

The previous prime is 23271991. The next prime is 23272009. The reversal of 23272000 is 27232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23271991) and next prime (23272009).

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 23270976 = 32^2 + 4824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23272009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6546 + ... + 9454.

Almost surely, 2^23272000 is an apocalyptic number.

23272000 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 23272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28826460).

23272000 is an abundant number, since it is smaller than the sum of its proper divisors (34380920).

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

23272000 is an equidigital number, since it uses as much as digits as its factorization.

23272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 23272000 is about 4824.1061348192. The cubic root of 23272000 is about 285.5033681461.

Adding to 23272000 its reverse (27232), we get a palindrome (23299232).

The spelling of 23272000 in words is "twenty-three million, two hundred seventy-two thousand".