33772144 has 80 divisors (see below), whose sum is σ = 78852096. Its totient is φ = 13708800.

The previous prime is 33772121. The next prime is 33772147. The reversal of 33772144 is 44127733.

It is a super-2 number, since 2×33772144² = 2281115420713472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33772147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246444 + ... + 246580.

Almost surely, 2^33772144 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 33772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39426048).

33772144 is an abundant number, since it is smaller than the sum of its proper divisors (45079952).

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

33772144 is a wasteful number, since it uses less digits than its factorization.

33772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 33772144 is about 5811.3805588690. The cubic root of 33772144 is about 323.2358662775.

Adding to 33772144 its reverse (44127733), we get a palindrome (77899877).

The spelling of 33772144 in words is "thirty-three million, seven hundred seventy-two thousand, one hundred forty-four".