33424272 has 120 divisors (see below), whose sum is σ = 111674400. Its totient is φ = 9543744.

The previous prime is 33424247. The next prime is 33424273. The reversal of 33424272 is 27242433.

It is a super-2 number, since 2×33424272² = 2234363917459968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33424273) 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, 20379 + ... + 21957.

It is an arithmetic number, because the mean of its divisors is an integer number (930620).

Almost surely, 2^33424272 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 33424272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55837200).

33424272 is an abundant number, since it is smaller than the sum of its proper divisors (78250128).

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

33424272 is a wasteful number, since it uses less digits than its factorization.

33424272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1591 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 33424272 is about 5781.3728473434. The cubic root of 33424272 is about 322.1221968475.

The spelling of 33424272 in words is "thirty-three million, four hundred twenty-four thousand, two hundred seventy-two".