23218272 has 192 divisors, whose sum is σ = 84672000. Its totient is φ = 6013440.

The previous prime is 23218249. The next prime is 23218297. The reversal of 23218272 is 27281232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 66354 + ... + 66702.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 2^23218272 is an apocalyptic number.

23218272 is a gapful number since it is divisible by the number (22) 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 23218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

23218272 is an abundant number, since it is smaller than the sum of its proper divisors (61453728).

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

23218272 is a wasteful number, since it uses less digits than its factorization.

23218272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 23218272 is about 4818.5342169585. The cubic root of 23218272 is about 285.2834852410.

The spelling of 23218272 in words is "twenty-three million, two hundred eighteen thousand, two hundred seventy-two".