33048972 has 108 divisors (see below), whose sum is σ = 95565288. Its totient is φ = 9979200.

The previous prime is 33048959. The next prime is 33048973. The reversal of 33048972 is 27984033.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33048973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117472 + ... + 117752.

Almost surely, 2^33048972 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 33048972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47782644).

33048972 is an abundant number, since it is smaller than the sum of its proper divisors (62516316).

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

33048972 is a wasteful number, since it uses less digits than its factorization.

33048972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33048972 is about 5748.8235318194. The cubic root of 33048972 is about 320.9120206090.

The spelling of 33048972 in words is "thirty-three million, forty-eight thousand, nine hundred seventy-two".