33726672 has 160 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 9113472.

The previous prime is 33726613. The next prime is 33726673. The reversal of 33726672 is 27662733.

It is a super-2 number, since 2×33726672² = 2274976808391168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33726673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 57163 + ... + 57749.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^33726672 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 33726672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

33726672 is an abundant number, since it is smaller than the sum of its proper divisors (82932528).

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

33726672 is a wasteful number, since it uses less digits than its factorization.

33726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 33726672 is about 5807.4669176845. The cubic root of 33726672 is about 323.0907290804.

The spelling of 33726672 in words is "thirty-three million, seven hundred twenty-six thousand, six hundred seventy-two".