75638304 has 144 divisors (see below), whose sum is σ = 260402688. Its totient is φ = 20330496.

The previous prime is 75638281. The next prime is 75638309. The reversal of 75638304 is 40383657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (75638309) 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 23 ways as a sum of consecutive naturals, for example, 33169 + ... + 35375.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 2^75638304 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 75638304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

75638304 is an abundant number, since it is smaller than the sum of its proper divisors (184764384).

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

75638304 is a wasteful number, since it uses less digits than its factorization.

75638304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75638304 is about 8697.0284580424. The cubic root of 75638304 is about 422.9093244936.

It can be divided in two parts, 756 and 38304, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 75638304 in words is "seventy-five million, six hundred thirty-eight thousand, three hundred four".