33472 has 14 divisors (see below), whose sum is σ = 66548. Its totient is φ = 16704.

The previous prime is 33469. The next prime is 33479. The reversal of 33472 is 27433.

It is a super-2 number, since 2×33472² = 2240749568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 198 + ... + 325.

2³³⁴⁷² is an apocalyptic number.

33472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33472 is a deficient number, since it is larger than the sum of its proper divisors (33076).

33472 is an equidigital number, since it uses as much as digits as its factorization.

33472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its digits is 504, while the sum is 19.

The square root of 33472 is about 182.9535460165. The cubic root of 33472 is about 32.2275448115.

It can be divided in two parts, 334 and 72, that added together give a triangular number (406 = T₂₈).

The spelling of 33472 in words is "thirty-three thousand, four hundred seventy-two".