75330003 has 32 divisors (see below), whose sum is σ = 123328000. Its totient is φ = 40769568.

The previous prime is 75329993. The next prime is 75330019. The reversal of 75330003 is 30003357.

It is not a de Polignac number, because 75330003 - 2⁴ = 75329987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75310003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17625 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (3854000).

Almost surely, 2^75330003 is an apocalyptic number.

75330003 is a deficient number, since it is larger than the sum of its proper divisors (47997997).

75330003 is a wasteful number, since it uses less digits than its factorization.

75330003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 21.

The square root of 75330003 is about 8679.2858577189. The cubic root of 75330003 is about 422.3339505975. Note that the first 3 decimals are identical.

It can be divided in two parts, 75 and 330003, that added together give a triangular number (330078 = T₈₁₂).

The spelling of 75330003 in words is "seventy-five million, three hundred thirty thousand, three".