75368448 has 192 divisors, whose sum is σ = 235872000. Its totient is φ = 23740416.

The previous prime is 75368443. The next prime is 75368453. The reversal of 75368448 is 84486357.

It is an interprime number because it is at equal distance from previous prime (75368443) and next prime (75368453).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (75368443) 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, 1603561 + ... + 1603607.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^75368448 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 75368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

75368448 is an abundant number, since it is smaller than the sum of its proper divisors (160503552).

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

75368448 is a wasteful number, since it uses less digits than its factorization.

75368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 75368448 is about 8681.5003311640. The cubic root of 75368448 is about 422.4057850447.

The spelling of 75368448 in words is "seventy-five million, three hundred sixty-eight thousand, four hundred forty-eight".