33973272 has 72 divisors (see below), whose sum is σ = 95268420. Its totient is φ = 10936800.

The previous prime is 33973271. The next prime is 33973309. The reversal of 33973272 is 27237933.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33973271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68947 + ... + 69437.

Almost surely, 2^33973272 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 33973272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47634210).

33973272 is an abundant number, since it is smaller than the sum of its proper divisors (61295148).

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

33973272 is a wasteful number, since it uses less digits than its factorization.

33973272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 527 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 33973272 is about 5828.6595371492. The cubic root of 33973272 is about 323.8762673398.

The spelling of 33973272 in words is "thirty-three million, nine hundred seventy-three thousand, two hundred seventy-two".