75734120 has 128 divisors (see below), whose sum is σ = 216207360. Its totient is φ = 23189760.

The previous prime is 75734119. The next prime is 75734129. The reversal of 75734120 is 2143757.

It is not an unprimeable number, because it can be changed into a prime (75734129) 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 31 ways as a sum of consecutive naturals, for example, 206177 + ... + 206543.

It is an arithmetic number, because the mean of its divisors is an integer number (1689120).

Almost surely, 2^75734120 is an apocalyptic number.

75734120 is a gapful number since it is divisible by the number (70) 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 75734120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108103680).

75734120 is an abundant number, since it is smaller than the sum of its proper divisors (140473240).

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

75734120 is a wasteful number, since it uses less digits than its factorization.

75734120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 75734120 is about 8702.5352627841. The cubic root of 75734120 is about 423.0878248007.

Adding to 75734120 its reverse (2143757), we get a palindrome (77877877).

The spelling of 75734120 in words is "seventy-five million, seven hundred thirty-four thousand, one hundred twenty".