75343128 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 21280512.

The previous prime is 75343127. The next prime is 75343129. The reversal of 75343128 is 82134357.

It is an interprime number because it is at equal distance from previous prime (75343127) and next prime (75343129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75343123) 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 15 ways as a sum of consecutive naturals, for example, 12433 + ... + 17471.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^75343128 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 75343128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

75343128 is an abundant number, since it is smaller than the sum of its proper divisors (142384872).

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

75343128 is a wasteful number, since it uses less digits than its factorization.

75343128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5140 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 75343128 is about 8680.0419353826. The cubic root of 75343128 is about 422.3584773951.

The spelling of 75343128 in words is "seventy-five million, three hundred forty-three thousand, one hundred twenty-eight".