33287072 has 144 divisors (see below), whose sum is σ = 86873472. Its totient is φ = 12418560.

The previous prime is 33287063. The next prime is 33287077. The reversal of 33287072 is 27078233.

It is a happy number.

It is a super-2 number, since 2×33287072² = 2216058324666368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33287077) 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, 468797 + ... + 468867.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^33287072 is an apocalyptic number.

33287072 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 33287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436736).

33287072 is an abundant number, since it is smaller than the sum of its proper divisors (53586400).

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

33287072 is a wasteful number, since it uses less digits than its factorization.

33287072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 33287072 is about 5769.4949519000. The cubic root of 33287072 is about 321.6808431861.

The spelling of 33287072 in words is "thirty-three million, two hundred eighty-seven thousand, seventy-two".