67133232 has 80 divisors (see below), whose sum is σ = 202864000. Its totient is φ = 21197376.

The previous prime is 67133219. The next prime is 67133233. The reversal of 67133232 is 23233176.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 67133196 and 67133205.

It is not an unprimeable number, because it can be changed into a prime (67133233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4119 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (2535800).

Almost surely, 2^67133232 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 67133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101432000).

67133232 is an abundant number, since it is smaller than the sum of its proper divisors (135730768).

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

67133232 is a wasteful number, since it uses less digits than its factorization.

67133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8203 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 67133232 is about 8193.4871696976. The cubic root of 67133232 is about 406.4238497897.

The spelling of 67133232 in words is "sixty-seven million, one hundred thirty-three thousand, two hundred thirty-two".