33144072 has 64 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 9945600.

The previous prime is 33144019. The next prime is 33144073. The reversal of 33144072 is 27044133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144073) 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, 11497 + ... + 14087.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^33144072 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 33144072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

33144072 is an abundant number, since it is smaller than the sum of its proper divisors (58301688).

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

33144072 is a wasteful number, since it uses less digits than its factorization.

33144072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 33144072 is about 5757.0888476729. The cubic root of 33144072 is about 321.2195390680.

The spelling of 33144072 in words is "thirty-three million, one hundred forty-four thousand, seventy-two".