33752016 has 60 divisors (see below), whose sum is σ = 96487872. Its totient is φ = 11009088.

The previous prime is 33752011. The next prime is 33752057. The reversal of 33752016 is 61025733.

It is a happy number.

It is a super-2 number, since 2×33752016² = 2278397168128512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33752011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4275 + ... + 9261.

Almost surely, 2^33752016 is an apocalyptic number.

33752016 is a gapful number since it is divisible by the number (36) 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 33752016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48243936).

33752016 is an abundant number, since it is smaller than the sum of its proper divisors (62735856).

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

33752016 is a wasteful number, since it uses less digits than its factorization.

33752016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 33752016 is about 5809.6485263740. The cubic root of 33752016 is about 323.1716379549.

Adding to 33752016 its reverse (61025733), we get a palindrome (94777749).

The spelling of 33752016 in words is "thirty-three million, seven hundred fifty-two thousand, sixteen".