33333072 has 80 divisors (see below), whose sum is σ = 91006080. Its totient is φ = 10492416.

The previous prime is 33333071. The next prime is 33333077. The reversal of 33333072 is 27033333.

It is a super-2 number, since 2×33333072² = 2222187377914368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33333071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120198 + ... + 120474.

It is an arithmetic number, because the mean of its divisors is an integer number (1137576).

Almost surely, 2^33333072 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 33333072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45503040).

33333072 is an abundant number, since it is smaller than the sum of its proper divisors (57673008).

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

33333072 is a wasteful number, since it uses less digits than its factorization.

33333072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 24.

The square root of 33333072 is about 5773.4800597213. The cubic root of 33333072 is about 321.8289538178.

The spelling of 33333072 in words is "thirty-three million, three hundred thirty-three thousand, seventy-two".