33672096 has 72 divisors (see below), whose sum is σ = 98017920. Its totient is φ = 10958976.

The previous prime is 33672073. The next prime is 33672113. The reversal of 33672096 is 69027633.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33672096² = 2267620098066432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33672096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11025 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (1361360).

Almost surely, 2^33672096 is an apocalyptic number.

33672096 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 33672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

33672096 is an abundant number, since it is smaller than the sum of its proper divisors (64345824).

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

33672096 is a wasteful number, since it uses less digits than its factorization.

33672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 33672096 is about 5802.7662368908. The cubic root of 33672096 is about 322.9163614528.

The spelling of 33672096 in words is "thirty-three million, six hundred seventy-two thousand, ninety-six".