33672240 has 320 divisors, whose sum is σ = 141419520. Its totient is φ = 7188480.

The previous prime is 33672239. The next prime is 33672251. The reversal of 33672240 is 4227633.

It is a super-2 number, since 2×33672240² = 2267639493235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256975 + ... + 257105.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^33672240 is an apocalyptic number.

33672240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

33672240 is an abundant number, since it is smaller than the sum of its proper divisors (107747280).

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

33672240 is a wasteful number, since it uses less digits than its factorization.

33672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33672240 is about 5802.7786447529. The cubic root of 33672240 is about 322.9168217735.

Adding to 33672240 its reverse (4227633), we get a palindrome (37899873).

The spelling of 33672240 in words is "thirty-three million, six hundred seventy-two thousand, two hundred forty".