75971896 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 26657280.

The previous prime is 75971891. The next prime is 75971923. The reversal of 75971896 is 69817957.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75971891) 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 31 ways as a sum of consecutive naturals, for example, 424335 + ... + 424513.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^75971896 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 75971896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

75971896 is an abundant number, since it is smaller than the sum of its proper divisors (119983304).

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

75971896 is a wasteful number, since it uses less digits than its factorization.

75971896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 952560, while the sum is 52.

The square root of 75971896 is about 8716.1858630940. The cubic root of 75971896 is about 423.5301398892.

It can be divided in two parts, 75971 and 896, that added together give a palindrome (76867).

The spelling of 75971896 in words is "seventy-five million, nine hundred seventy-one thousand, eight hundred ninety-six".