67275936 has 288 divisors, whose sum is σ = 250967808. Its totient is φ = 16588800.

The previous prime is 67275931. The next prime is 67275937. The reversal of 67275936 is 63957276.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 67275891 and 67275900.

It is not an unprimeable number, because it can be changed into a prime (67275931) 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 47 ways as a sum of consecutive naturals, for example, 445461 + ... + 445611.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^67275936 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 67275936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

67275936 is an abundant number, since it is smaller than the sum of its proper divisors (183691872).

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

67275936 is a wasteful number, since it uses less digits than its factorization.

67275936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 67275936 is about 8202.1909268195. The cubic root of 67275936 is about 406.7116221316.

The spelling of 67275936 in words is "sixty-seven million, two hundred seventy-five thousand, nine hundred thirty-six".