33168672 has 108 divisors (see below), whose sum is σ = 98481474. Its totient is φ = 10583040.

The previous prime is 33168671. The next prime is 33168697. The reversal of 33168672 is 27686133.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26998416 + 6170256 = 5196^2 + 2484^2 .

It is a super-2 number, since 2×33168672² = 2200321604487168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33168671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 625798 + ... + 625850.

Almost surely, 2^33168672 is an apocalyptic number.

33168672 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 33168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49240737).

33168672 is an abundant number, since it is smaller than the sum of its proper divisors (65312802).

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

33168672 is a wasteful number, since it uses less digits than its factorization.

33168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 99 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 33168672 is about 5759.2249478554. The cubic root of 33168672 is about 321.2989906461.

The spelling of 33168672 in words is "thirty-three million, one hundred sixty-eight thousand, six hundred seventy-two".