33840072 has 64 divisors (see below), whose sum is σ = 107433600. Its totient is φ = 9668160.

The previous prime is 33840049. The next prime is 33840073. The reversal of 33840072 is 27004833.

It is a super-2 number, since 2×33840072² = 2290300945930368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33840073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9679 + ... + 12702.

It is an arithmetic number, because the mean of its divisors is an integer number (1678650).

Almost surely, 2^33840072 is an apocalyptic number.

It is an amenable number.

33840072 is an abundant number, since it is smaller than the sum of its proper divisors (73593528).

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

33840072 is a wasteful number, since it uses less digits than its factorization.

33840072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22403 (or 22393 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33840072 is about 5817.2220174238. Note that the first 3 decimals coincide. The cubic root of 33840072 is about 323.4524358992.

The spelling of 33840072 in words is "thirty-three million, eight hundred forty thousand, seventy-two".