33722172 has 144 divisors (see below), whose sum is σ = 99800064. Its totient is φ = 9504000.

The previous prime is 33722159. The next prime is 33722173. The reversal of 33722172 is 27122733.

It is a happy number.

It is a super-2 number, since 2×33722172² = 2274369768795168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33722173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503283 + ... + 503349.

It is an arithmetic number, because the mean of its divisors is an integer number (693056).

Almost surely, 2^33722172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33722172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900032).

33722172 is an abundant number, since it is smaller than the sum of its proper divisors (66077892).

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

33722172 is a wasteful number, since it uses less digits than its factorization.

33722172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 33722172 is about 5807.0794725060. The cubic root of 33722172 is about 323.0763589210.

The spelling of 33722172 in words is "thirty-three million, seven hundred twenty-two thousand, one hundred seventy-two".