33690272 has 96 divisors (see below), whose sum is σ = 84115584. Its totient is φ = 13009920.

The previous prime is 33690269. The next prime is 33690317. The reversal of 33690272 is 27209633.

It is a happy number.

It is a super-2 number, since 2×33690272² = 2270068854867968, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298088 + ... + 298200.

It is an arithmetic number, because the mean of its divisors is an integer number (876204).

Almost surely, 2^33690272 is an apocalyptic number.

33690272 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 33690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057792).

33690272 is an abundant number, since it is smaller than the sum of its proper divisors (50425312).

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

33690272 is a wasteful number, since it uses less digits than its factorization.

33690272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 33690272 is about 5804.3321751947. The cubic root of 33690272 is about 322.9744537877.

The spelling of 33690272 in words is "thirty-three million, six hundred ninety thousand, two hundred seventy-two".