23206272 has 64 divisors (see below), whose sum is σ = 62146560. Its totient is φ = 7672320.

The previous prime is 23206243. The next prime is 23206273. The reversal of 23206272 is 27260232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23206273) 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, 85497 + ... + 85767.

It is an arithmetic number, because the mean of its divisors is an integer number (971040).

Almost surely, 2^23206272 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 23206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073280).

23206272 is an abundant number, since it is smaller than the sum of its proper divisors (38940288).

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

23206272 is a wasteful number, since it uses less digits than its factorization.

23206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 23206272 is about 4817.2888640811. The cubic root of 23206272 is about 285.2343286720.

The spelling of 23206272 in words is "twenty-three million, two hundred six thousand, two hundred seventy-two".