33725760 has 168 divisors, whose sum is σ = 115397280. Its totient is φ = 8322048.

The previous prime is 33725719. The next prime is 33725761. The reversal of 33725760 is 6752733.

It is a super-2 number, since 2×33725760² = 2274853775155200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33725761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784299 + ... + 784341.

Almost surely, 2^33725760 is an apocalyptic number.

33725760 is a gapful number since it is divisible by the number (30) 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 33725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57698640).

33725760 is an abundant number, since it is smaller than the sum of its proper divisors (81671520).

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

33725760 is a wasteful number, since it uses less digits than its factorization.

33725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 33725760 is about 5807.3883975501. The cubic root of 33725760 is about 323.0878168313.

The spelling of 33725760 in words is "thirty-three million, seven hundred twenty-five thousand, seven hundred sixty".