33045672 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 9408000.

The previous prime is 33045647. The next prime is 33045697. The reversal of 33045672 is 27654033.

It is an interprime number because it is at equal distance from previous prime (33045647) and next prime (33045697).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465397 + ... + 465467.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^33045672 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 33045672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

33045672 is an abundant number, since it is smaller than the sum of its proper divisors (62754648).

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

33045672 is a wasteful number, since it uses less digits than its factorization.

33045672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 33045672 is about 5748.5365094083. The cubic root of 33045672 is about 320.9013390370.

The spelling of 33045672 in words is "thirty-three million, forty-five thousand, six hundred seventy-two".