33852672 has 108 divisors (see below), whose sum is σ = 111602400. Its totient is φ = 9667584.

The previous prime is 33852671. The next prime is 33852683. The reversal of 33852672 is 27625833.

It is a super-2 number, since 2×33852672² = 2292006803079168, 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 (33852671) 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, 15079 + ... + 17177.

Almost surely, 2^33852672 is an apocalyptic number.

33852672 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 33852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55801200).

33852672 is an abundant number, since it is smaller than the sum of its proper divisors (77749728).

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

33852672 is a wasteful number, since it uses less digits than its factorization.

33852672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2111 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 33852672 is about 5818.3049077889. The cubic root of 33852672 is about 323.4925756382.

The spelling of 33852672 in words is "thirty-three million, eight hundred fifty-two thousand, six hundred seventy-two".