75382307 has 16 divisors (see below), whose sum is σ = 101213952. Its totient is φ = 54220320.

The previous prime is 75382277. The next prime is 75382309. The reversal of 75382307 is 70328357.

It is not a de Polignac number, because 75382307 - 2¹² = 75378211 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (75382309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36653 + ... + 38654.

It is an arithmetic number, because the mean of its divisors is an integer number (6325872).

Almost surely, 2^75382307 is an apocalyptic number.

75382307 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

75382307 is a deficient number, since it is larger than the sum of its proper divisors (25831645).

75382307 is a wasteful number, since it uses less digits than its factorization.

75382307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75338.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 75382307 is about 8682.2984860001. The cubic root of 75382307 is about 422.4316745831.

The spelling of 75382307 in words is "seventy-five million, three hundred eighty-two thousand, three hundred seven".