75097728 has 192 divisors, whose sum is σ = 235497600. Its totient is φ = 22892544.

The previous prime is 75097727. The next prime is 75097741. The reversal of 75097728 is 82779057.

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 (75097727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028700 + ... + 1028772.

It is an arithmetic number, because the mean of its divisors is an integer number (1226550).

Almost surely, 2^75097728 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 75097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117748800).

75097728 is an abundant number, since it is smaller than the sum of its proper divisors (160399872).

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

75097728 is a wasteful number, since it uses less digits than its factorization.

75097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 75097728 is about 8665.8945297067. The cubic root of 75097728 is about 421.8994242320.

The spelling of 75097728 in words is "seventy-five million, ninety-seven thousand, seven hundred twenty-eight".