75344064 has 56 divisors (see below), whose sum is σ = 202192128. Its totient is φ = 24756480.

The previous prime is 75344057. The next prime is 75344069. The reversal of 75344064 is 46044357.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75344069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10869 + ... + 16395.

Almost surely, 2^75344064 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 75344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101096064).

75344064 is an abundant number, since it is smaller than the sum of its proper divisors (126848064).

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

75344064 is a wasteful number, since it uses less digits than its factorization.

75344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 75344064 is about 8680.0958520053. The cubic root of 75344064 is about 422.3602263973.

The spelling of 75344064 in words is "seventy-five million, three hundred forty-four thousand, sixty-four".