75728353 has 8 divisors (see below), whose sum is σ = 82139400. Its totient is φ = 69534720.

The previous prime is 75728299. The next prime is 75728363. The reversal of 75728353 is 35382757.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 70006689 = 2392^2 + 8367^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75728353 - 2²⁵ = 42173921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75728363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53628 + ... + 55021.

It is an arithmetic number, because the mean of its divisors is an integer number (10267425).

Almost surely, 2^75728353 is an apocalyptic number.

It is an amenable number.

75728353 is a deficient number, since it is larger than the sum of its proper divisors (6411047).

75728353 is a wasteful number, since it uses less digits than its factorization.

75728353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108707.

The product of its digits is 176400, while the sum is 40.

The square root of 75728353 is about 8702.2039162502. The cubic root of 75728353 is about 423.0770854341.

The spelling of 75728353 in words is "seventy-five million, seven hundred twenty-eight thousand, three hundred fifty-three".