75728870 has 64 divisors (see below), whose sum is σ = 165957120. Its totient is φ = 24302592.

The previous prime is 75728867. The next prime is 75728879. The reversal of 75728870 is 7882757.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75728879) 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, 128717 + ... + 129303.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^75728870 is an apocalyptic number.

75728870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75728870 is an abundant number, since it is smaller than the sum of its proper divisors (90228250).

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

75728870 is a wasteful number, since it uses less digits than its factorization.

75728870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 219520, while the sum is 44.

The square root of 75728870 is about 8702.2336213181. The cubic root of 75728870 is about 423.0780482191.

The spelling of 75728870 in words is "seventy-five million, seven hundred twenty-eight thousand, eight hundred seventy".