33573072 has 80 divisors (see below), whose sum is σ = 94243968. Its totient is φ = 10237440.

The previous prime is 33573053. The next prime is 33573101. The reversal of 33573072 is 27037533.

It is a super-2 number, since 2×33573072² = 2254302327034368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107797 + ... + 108107.

Almost surely, 2^33573072 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 33573072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47121984).

33573072 is an abundant number, since it is smaller than the sum of its proper divisors (60670896).

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

33573072 is a wasteful number, since it uses less digits than its factorization.

33573072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 30.

The square root of 33573072 is about 5794.2274722348. The cubic root of 33573072 is about 322.5995029784.

The spelling of 33573072 in words is "thirty-three million, five hundred seventy-three thousand, seventy-two".