75048768 has 140 divisors (see below), whose sum is σ = 230136192. Its totient is φ = 24157440.

The previous prime is 75048763. The next prime is 75048769. The reversal of 75048768 is 86784057.

75048768 is a `hidden beast` number, since 7 + 504 + 87 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75048763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160471 + ... + 160937.

Almost surely, 2^75048768 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 75048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115068096).

75048768 is an abundant number, since it is smaller than the sum of its proper divisors (155087424).

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

75048768 is a wasteful number, since it uses less digits than its factorization.

75048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

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

The square root of 75048768 is about 8663.0692020784. The cubic root of 75048768 is about 421.8077184555.

The spelling of 75048768 in words is "seventy-five million, forty-eight thousand, seven hundred sixty-eight".