75393963 has 32 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 46712448.

The previous prime is 75393863. The next prime is 75393971. The reversal of 75393963 is 36939357.

It is not a de Polignac number, because 75393963 - 2¹³ = 75385771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75393973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37108 + ... + 39086.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^75393963 is an apocalyptic number.

75393963 is a deficient number, since it is larger than the sum of its proper divisors (44356437).

75393963 is a wasteful number, since it uses less digits than its factorization.

75393963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2082 counting only the distinct ones).

The product of its digits is 459270, while the sum is 45.

The square root of 75393963 is about 8682.9697108766. The cubic root of 75393963 is about 422.4534463137.

It can be divided in two parts, 7 and 5393963, that added together give a triangular number (5393970 = T₃₂₈₄).

The spelling of 75393963 in words is "seventy-five million, three hundred ninety-three thousand, nine hundred sixty-three".