33172672 has 42 divisors (see below), whose sum is σ = 71303388. Its totient is φ = 15305472.

The previous prime is 33172669. The next prime is 33172673. The reversal of 33172672 is 27627133.

It is a super-2 number, since 2×33172672² = 2200852335239168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33172673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9283 + ... + 12349.

Almost surely, 2^33172672 is an apocalyptic number.

33172672 is a gapful number since it is divisible by the number (32) 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 33172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35651694).

33172672 is an abundant number, since it is smaller than the sum of its proper divisors (38130716).

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

33172672 is a wasteful number, since it uses less digits than its factorization.

33172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3082 counting only the distinct ones).

The product of its digits is 10584, while the sum is 31.

The square root of 33172672 is about 5759.5722063362. The cubic root of 33172672 is about 321.3119058884.

The spelling of 33172672 in words is "thirty-three million, one hundred seventy-two thousand, six hundred seventy-two".