33072004 has 72 divisors (see below), whose sum is σ = 72481472. Its totient is φ = 12925440.

The previous prime is 33072001. The next prime is 33072019. The reversal of 33072004 is 40027033.

It is not an unprimeable number, because it can be changed into a prime (33072001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493579 + ... + 493645.

Almost surely, 2^33072004 is an apocalyptic number.

33072004 is a gapful number since it is divisible by the number (34) 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 33072004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240736).

33072004 is an abundant number, since it is smaller than the sum of its proper divisors (39409468).

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

33072004 is a wasteful number, since it uses less digits than its factorization.

33072004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 33072004 is about 5750.8263754003. The cubic root of 33072004 is about 320.9865517151.

Adding to 33072004 its reverse (40027033), we get a palindrome (73099037).

The spelling of 33072004 in words is "thirty-three million, seventy-two thousand, four".