33042672 has 120 divisors (see below), whose sum is σ = 104941200. Its totient is φ = 9621504.

The previous prime is 33042643. The next prime is 33042689. The reversal of 33042672 is 27624033.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35104 + ... + 36032.

It is an arithmetic number, because the mean of its divisors is an integer number (874510).

Almost surely, 2^33042672 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 33042672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52470600).

33042672 is an abundant number, since it is smaller than the sum of its proper divisors (71898528).

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

33042672 is a wasteful number, since it uses less digits than its factorization.

33042672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33042672 is about 5748.2755675072. The cubic root of 33042672 is about 320.8916278999.

It can be divided in two parts, 3304 and 2672, that multiplied together give a palindrome (8828288).

The spelling of 33042672 in words is "thirty-three million, forty-two thousand, six hundred seventy-two".