23072000 has 144 divisors (see below), whose sum is σ = 66323712. Its totient is φ = 7833600.

The previous prime is 23071999. The next prime is 23072003. The reversal of 23072000 is 27032.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23072003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223949 + ... + 224051.

Almost surely, 2^23072000 is an apocalyptic number.

23072000 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 23072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33161856).

23072000 is an abundant number, since it is smaller than the sum of its proper divisors (43251712).

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

23072000 is an equidigital number, since it uses as much as digits as its factorization.

23072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 23072000 is about 4803.3321767290. The cubic root of 23072000 is about 284.6831402060.

Adding to 23072000 its reverse (27032), we get a palindrome (23099032).

The spelling of 23072000 in words is "twenty-three million, seventy-two thousand".