23672000 has 112 divisors (see below), whose sum is σ = 64190880. Its totient is φ = 8576000.

The previous prime is 23671997. The next prime is 23672021. The reversal of 23672000 is 27632.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87866 + ... + 88134.

Almost surely, 2^23672000 is an apocalyptic number.

23672000 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 23672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32095440).

23672000 is an abundant number, since it is smaller than the sum of its proper divisors (40518880).

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

23672000 is a wasteful number, since it uses less digits than its factorization.

23672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

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

The square root of 23672000 is about 4865.3879598651. The cubic root of 23672000 is about 287.1298323577.

Adding to 23672000 its reverse (27632), we get a palindrome (23699632).

The spelling of 23672000 in words is "twenty-three million, six hundred seventy-two thousand".