75321664 has 56 divisors (see below), whose sum is σ = 164884608. Its totient is φ = 33853440.

The previous prime is 75321647. The next prime is 75321667. The reversal of 75321664 is 46612357.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75321667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67737 + ... + 68839.

It is an arithmetic number, because the mean of its divisors is an integer number (2944368).

Almost surely, 2^75321664 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 75321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82442304).

75321664 is an abundant number, since it is smaller than the sum of its proper divisors (89562944).

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

75321664 is a wasteful number, since it uses less digits than its factorization.

75321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 75321664 is about 8678.8054477560. The cubic root of 75321664 is about 422.3183659582.

The spelling of 75321664 in words is "seventy-five million, three hundred twenty-one thousand, six hundred sixty-four".