33672128 has 28 divisors (see below), whose sum is σ = 76364592. Its totient is φ = 14430720.

The previous prime is 33672127. The next prime is 33672137. The reversal of 33672128 is 82127633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×33672128² = 2267624408096768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 33672094 and 33672103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33672127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37133 + ... + 38028.

Almost surely, 2^33672128 is an apocalyptic number.

It is an amenable number.

33672128 is an abundant number, since it is smaller than the sum of its proper divisors (42692464).

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

33672128 is an equidigital number, since it uses as much as digits as its factorization.

33672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75180 (or 75170 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 33672128 is about 5802.7689941958. The cubic root of 33672128 is about 322.9164637464.

The spelling of 33672128 in words is "thirty-three million, six hundred seventy-two thousand, one hundred twenty-eight".