33305072 has 20 divisors (see below), whose sum is σ = 64623840. Its totient is φ = 16627968.

The previous prime is 33305071. The next prime is 33305089. The reversal of 33305072 is 27050333.

It is a super-2 number, since 2×33305072² = 2218455641850368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33305071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15113 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (3231192).

Almost surely, 2^33305072 is an apocalyptic number.

It is an amenable number.

33305072 is a deficient number, since it is larger than the sum of its proper divisors (31318768).

33305072 is a wasteful number, since it uses less digits than its factorization.

33305072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 23.

The square root of 33305072 is about 5771.0546696423. The cubic root of 33305072 is about 321.7388157607.

The spelling of 33305072 in words is "thirty-three million, three hundred five thousand, seventy-two".