33566372 has 36 divisors (see below), whose sum is σ = 70014924. Its totient is φ = 14031360.

The previous prime is 33566371. The next prime is 33566383. The reversal of 33566372 is 27366533.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 17757796 = 3976^2 + 4214^2 .

It is a super-2 number, since 2×33566372² = 2253402658484768, which contains 22 as substring.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (33566371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5948 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (1944859).

Almost surely, 2^33566372 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 33566372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007462).

33566372 is an abundant number, since it is smaller than the sum of its proper divisors (36448552).

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

33566372 is a wasteful number, since it uses less digits than its factorization.

33566372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4227 counting only the distinct ones).

The product of its digits is 68040, while the sum is 35.

The square root of 33566372 is about 5793.6492817567. The cubic root of 33566372 is about 322.5780417265.

The spelling of 33566372 in words is "thirty-three million, five hundred sixty-six thousand, three hundred seventy-two".