75968928 has 240 divisors, whose sum is σ = 263450880. Its totient is φ = 21026304.

The previous prime is 75968927. The next prime is 75968939. The reversal of 75968928 is 82986957.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75968923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 961593 + ... + 961671.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^75968928 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 75968928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

75968928 is an abundant number, since it is smaller than the sum of its proper divisors (187481952).

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

75968928 is a wasteful number, since it uses less digits than its factorization.

75968928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 75968928 is about 8716.0156034739. The cubic root of 75968928 is about 423.5246244557.

The spelling of 75968928 in words is "seventy-five million, nine hundred sixty-eight thousand, nine hundred twenty-eight".