33120672 has 48 divisors (see below), whose sum is σ = 93633120. Its totient is φ = 10190592.

The previous prime is 33120643. The next prime is 33120683. The reversal of 33120672 is 27602133.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12022 + ... + 14517.

It is an arithmetic number, because the mean of its divisors is an integer number (1950690).

Almost surely, 2^33120672 is an apocalyptic number.

33120672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33120672 is an abundant number, since it is smaller than the sum of its proper divisors (60512448).

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

33120672 is a wasteful number, since it uses less digits than its factorization.

33120672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26565 (or 26557 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 33120672 is about 5755.0562117151. The cubic root of 33120672 is about 321.1439266848.

The spelling of 33120672 in words is "thirty-three million, one hundred twenty thousand, six hundred seventy-two".