75852736 has 56 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 36652800.

The previous prime is 75852703. The next prime is 75852737. The reversal of 75852736 is 63725857.

It is a junction number, because it is equal to n+sod(n) for n = 75852692 and 75852701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75852737) 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 7 ways as a sum of consecutive naturals, for example, 454125 + ... + 454291.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2^75852736 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 75852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

75852736 is an abundant number, since it is smaller than the sum of its proper divisors (79814720).

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

75852736 is a wasteful number, since it uses less digits than its factorization.

75852736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 75852736 is about 8709.3476219519. The cubic root of 75852736 is about 423.3085919090.

The spelling of 75852736 in words is "seventy-five million, eight hundred fifty-two thousand, seven hundred thirty-six".