33413072 has 80 divisors (see below), whose sum is σ = 83006592. Its totient is φ = 12648960.

The previous prime is 33413069. The next prime is 33413087. The reversal of 33413072 is 27031433.

It is a happy number.

It is a super-2 number, since 2×33413072² = 2232866760954368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45218 + ... + 45950.

Almost surely, 2^33413072 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 33413072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41503296).

33413072 is an abundant number, since it is smaller than the sum of its proper divisors (49593520).

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

33413072 is a wasteful number, since it uses less digits than its factorization.

33413072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 33413072 is about 5780.4041381204. The cubic root of 33413072 is about 322.0862132998.

The spelling of 33413072 in words is "thirty-three million, four hundred thirteen thousand, seventy-two".