33073152 has 96 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 9437184.

The previous prime is 33073151. The next prime is 33073171. The reversal of 33073152 is 25137033.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (33073151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42624 + ... + 43392.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 2^33073152 is an apocalyptic number.

33073152 is a gapful number since it is divisible by the number (32) 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 33073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

33073152 is an abundant number, since it is smaller than the sum of its proper divisors (67827648).

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

33073152 is an equidigital number, since it uses as much as digits as its factorization.

33073152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 33073152 is about 5750.9261862764. The cubic root of 33073152 is about 320.9902657154.

The spelling of 33073152 in words is "thirty-three million, seventy-three thousand, one hundred fifty-two".