33867072 has 140 divisors (see below), whose sum is σ = 103266240. Its totient is φ = 10969344.

The previous prime is 33867059. The next prime is 33867083. The reversal of 33867072 is 27076833.

It is a super-2 number, since 2×33867072² = 2293957131706368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243579 + ... + 243717.

It is an arithmetic number, because the mean of its divisors is an integer number (737616).

Almost surely, 2^33867072 is an apocalyptic number.

33867072 is a gapful number since it is divisible by the number (32) 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 33867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633120).

33867072 is an abundant number, since it is smaller than the sum of its proper divisors (69399168).

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

33867072 is a wasteful number, since it uses less digits than its factorization.

33867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 33867072 is about 5819.5422500399. The cubic root of 33867072 is about 323.5384374316.

The spelling of 33867072 in words is "thirty-three million, eight hundred sixty-seven thousand, seventy-two".