75135648 has 96 divisors (see below), whose sum is σ = 238702464. Its totient is φ = 20201472.

The previous prime is 75135629. The next prime is 75135649. The reversal of 75135648 is 84653157.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (75135649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8136 + ... + 14712.

It is an arithmetic number, because the mean of its divisors is an integer number (2486484).

Almost surely, 2^75135648 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 75135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119351232).

75135648 is an abundant number, since it is smaller than the sum of its proper divisors (163566816).

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

75135648 is a wasteful number, since it uses less digits than its factorization.

75135648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6606 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 75135648 is about 8668.0821408198. The cubic root of 75135648 is about 421.9704238685.

It can be divided in two parts, 7513 and 5648, that multiplied together give a palindrome (42433424).

The spelling of 75135648 in words is "seventy-five million, one hundred thirty-five thousand, six hundred forty-eight".