33223072 has 48 divisors (see below), whose sum is σ = 68366592. Its totient is φ = 15874560.

The previous prime is 33223061. The next prime is 33223087. The reversal of 33223072 is 27032233.

It is a super-2 number, since 2×33223072² = 2207545026234368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105988 + ... + 106300.

It is an arithmetic number, because the mean of its divisors is an integer number (1424304).

Almost surely, 2^33223072 is an apocalyptic number.

33223072 is a gapful number since it is divisible by the number (32) 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 33223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34183296).

33223072 is an abundant number, since it is smaller than the sum of its proper divisors (35143520).

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

33223072 is a wasteful number, since it uses less digits than its factorization.

33223072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 33223072 is about 5763.9458706688. The cubic root of 33223072 is about 321.4745490585.

The spelling of 33223072 in words is "thirty-three million, two hundred twenty-three thousand, seventy-two".