33972288 has 168 divisors, whose sum is σ = 109801152. Its totient is φ = 9225216.

The previous prime is 33972287. The next prime is 33972299. The reversal of 33972288 is 88227933.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (145152) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (33972287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216306 + ... + 216462.

Almost surely, 2^33972288 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 33972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900576).

33972288 is an abundant number, since it is smaller than the sum of its proper divisors (75828864).

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

33972288 is a wasteful number, since it uses less digits than its factorization.

33972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 33972288 is about 5828.5751260492. The cubic root of 33972288 is about 323.8731403981.

It can be divided in two parts, 339 and 72288, that added together give a palindrome (72627).

The spelling of 33972288 in words is "thirty-three million, nine hundred seventy-two thousand, two hundred eighty-eight".