23205672 has 96 divisors (see below), whose sum is σ = 73644480. Its totient is φ = 6462720.

The previous prime is 23205671. The next prime is 23205709. The reversal of 23205672 is 27650232.

It is not an unprimeable number, because it can be changed into a prime (23205671) 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, 20103 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (767130).

Almost surely, 2^23205672 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 23205672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36822240).

23205672 is an abundant number, since it is smaller than the sum of its proper divisors (50438808).

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

23205672 is a wasteful number, since it uses less digits than its factorization.

23205672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23205672 is about 4817.2265879861. The cubic root of 23205672 is about 285.2318703987.

The spelling of 23205672 in words is "twenty-three million, two hundred five thousand, six hundred seventy-two".