8223072 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2296320.

The previous prime is 8223043. The next prime is 8223077. The reversal of 8223072 is 2703228.

It is a tau number, because it is divible by the number of its divisors (96).

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 (8223077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13429 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^8223072 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 8223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

8223072 is an abundant number, since it is smaller than the sum of its proper divisors (17178528).

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

8223072 is a wasteful number, since it uses less digits than its factorization.

8223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8223072 is about 2867.5899288427. The cubic root of 8223072 is about 201.8419179496.

The spelling of 8223072 in words is "eight million, two hundred twenty-three thousand, seventy-two".