33792672 has 24 divisors (see below), whose sum is σ = 88706016. Its totient is φ = 11264192.

The previous prime is 33792653. The next prime is 33792721. The reversal of 33792672 is 27629733.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33792672² = 2283889361799168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33792672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175908 + ... + 176099.

It is an arithmetic number, because the mean of its divisors is an integer number (3696084).

Almost surely, 2^33792672 is an apocalyptic number.

33792672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33792672 is an abundant number, since it is smaller than the sum of its proper divisors (54913344).

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

33792672 is a wasteful number, since it uses less digits than its factorization.

33792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352020 (or 352012 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 33792672 is about 5813.1464801775. The cubic root of 33792672 is about 323.3013447174.

The spelling of 33792672 in words is "thirty-three million, seven hundred ninety-two thousand, six hundred seventy-two".