33725952 has 120 divisors (see below), whose sum is σ = 105008904. Its totient is φ = 10358784.

The previous prime is 33725941. The next prime is 33725953. The reversal of 33725952 is 25952733.

It is a super-2 number, since 2×33725952² = 2274879676612608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33725953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59623 + ... + 60185.

Almost surely, 2^33725952 is an apocalyptic number.

33725952 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 33725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52504452).

33725952 is an abundant number, since it is smaller than the sum of its proper divisors (71282952).

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

33725952 is a wasteful number, since it uses less digits than its factorization.

33725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 33725952 is about 5807.4049281930. The cubic root of 33725952 is about 323.0884299408.

The spelling of 33725952 in words is "thirty-three million, seven hundred twenty-five thousand, nine hundred fifty-two".