33672288 has 48 divisors (see below), whose sum is σ = 95192496. Its totient is φ = 10360320.

The previous prime is 33672283. The next prime is 33672307. The reversal of 33672288 is 88227633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33672288² = 2267645958309888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33672283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12243 + ... + 14738.

It is an arithmetic number, because the mean of its divisors is an integer number (1983177).

Almost surely, 2^33672288 is an apocalyptic number.

It is an amenable number.

33672288 is an abundant number, since it is smaller than the sum of its proper divisors (61520208).

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

33672288 is a wasteful number, since it uses less digits than its factorization.

33672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27007 (or 26999 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 33672288 is about 5802.7827807010. The cubic root of 33672288 is about 322.9169752135.

The spelling of 33672288 in words is "thirty-three million, six hundred seventy-two thousand, two hundred eighty-eight".