75648936 has 128 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 21504000.

The previous prime is 75648917. The next prime is 75648971. The reversal of 75648936 is 63984657.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 313776 + ... + 314016.

It is an arithmetic number, because the mean of its divisors is an integer number (1715175).

Almost surely, 2^75648936 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 75648936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

75648936 is an abundant number, since it is smaller than the sum of its proper divisors (143893464).

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

75648936 is a wasteful number, since it uses less digits than its factorization.

75648936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 75648936 is about 8697.6396798212. The cubic root of 75648936 is about 422.9291387987.

The spelling of 75648936 in words is "seventy-five million, six hundred forty-eight thousand, nine hundred thirty-six".