75736896 has 56 divisors (see below), whose sum is σ = 201070464. Its totient is φ = 25159680.

The previous prime is 75736879. The next prime is 75736909. The reversal of 75736896 is 69863757.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82681 + ... + 83591.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 2^75736896 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 75736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100535232).

75736896 is an abundant number, since it is smaller than the sum of its proper divisors (125333568).

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

75736896 is a wasteful number, since it uses less digits than its factorization.

75736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 75736896 is about 8702.6947550744. The cubic root of 75736896 is about 423.0929941020.

The spelling of 75736896 in words is "seventy-five million, seven hundred thirty-six thousand, eight hundred ninety-six".