75673728 has 192 divisors, whose sum is σ = 243559680. Its totient is φ = 22394880.

The previous prime is 75673723. The next prime is 75673729. The reversal of 75673728 is 82737657.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (75673723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464175 + ... + 464337.

It is an arithmetic number, because the mean of its divisors is an integer number (1268540).

Almost surely, 2^75673728 is an apocalyptic number.

75673728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121779840).

75673728 is an abundant number, since it is smaller than the sum of its proper divisors (167885952).

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

75673728 is a wasteful number, since it uses less digits than its factorization.

75673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 75673728 is about 8699.0647773195. The cubic root of 75673728 is about 422.9753351479.

The spelling of 75673728 in words is "seventy-five million, six hundred seventy-three thousand, seven hundred twenty-eight".