75084768 has 144 divisors (see below), whose sum is σ = 235989936. Its totient is φ = 22456320.

The previous prime is 75084743. The next prime is 75084781. The reversal of 75084768 is 86748057.

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

It is a super-2 number, since 2×75084768² = 11275444771227648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433930 + ... + 434102.

It is an arithmetic number, because the mean of its divisors is an integer number (1638819).

Almost surely, 2^75084768 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 75084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117994968).

75084768 is an abundant number, since it is smaller than the sum of its proper divisors (160905168).

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

75084768 is a wasteful number, since it uses less digits than its factorization.

75084768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75084768 is about 8665.1467385152. The cubic root of 75084768 is about 421.8751530534.

The spelling of 75084768 in words is "seventy-five million, eighty-four thousand, seven hundred sixty-eight".