33142720 has 112 divisors (see below), whose sum is σ = 88075008. Its totient is φ = 11796480.

The previous prime is 33142717. The next prime is 33142757. The reversal of 33142720 is 2724133.

It is a junction number, because it is equal to n+sod(n) for n = 33142691 and 33142700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128832 + ... + 129088.

It is an arithmetic number, because the mean of its divisors is an integer number (786384).

Almost surely, 2^33142720 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 33142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44037504).

33142720 is an abundant number, since it is smaller than the sum of its proper divisors (54932288).

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

33142720 is a wasteful number, since it uses less digits than its factorization.

33142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 33142720 is about 5756.9714260191. The cubic root of 33142720 is about 321.2151713214.

Adding to 33142720 its reverse (2724133), we get a palindrome (35866853).

The spelling of 33142720 in words is "thirty-three million, one hundred forty-two thousand, seven hundred twenty".