33682072 has 32 divisors (see below), whose sum is σ = 65102400. Its totient is φ = 16327584.

The previous prime is 33682067. The next prime is 33682073. The reversal of 33682072 is 27028633.

It is a super-2 number, since 2×33682072² = 2268963948426368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33682073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61303 + ... + 61849.

It is an arithmetic number, because the mean of its divisors is an integer number (2034450).

Almost surely, 2^33682072 is an apocalyptic number.

It is an amenable number.

33682072 is a deficient number, since it is larger than the sum of its proper divisors (31420328).

33682072 is a wasteful number, since it uses less digits than its factorization.

33682072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 33682072 is about 5803.6257632621. The cubic root of 33682072 is about 322.9482483456.

The spelling of 33682072 in words is "thirty-three million, six hundred eighty-two thousand, seventy-two".