23268672 has 168 divisors, whose sum is σ = 79248000. Its totient is φ = 6386688.

The previous prime is 23268653. The next prime is 23268691. The reversal of 23268672 is 27686232.

It is an interprime number because it is at equal distance from previous prime (23268653) and next prime (23268691).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116829 + ... + 117027.

Almost surely, 2^23268672 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 23268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624000).

23268672 is an abundant number, since it is smaller than the sum of its proper divisors (55979328).

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

23268672 is a wasteful number, since it uses less digits than its factorization.

23268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 23268672 is about 4823.7611881187. The cubic root of 23268672 is about 285.4897580781.

The spelling of 23268672 in words is "twenty-three million, two hundred sixty-eight thousand, six hundred seventy-two".