75828033 has 24 divisors (see below), whose sum is σ = 114736128. Its totient is φ = 48166272.

The previous prime is 75828029. The next prime is 75828091. The reversal of 75828033 is 33082857.

It is not a de Polignac number, because 75828033 - 2² = 75828029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75828013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69216 + ... + 70302.

It is an arithmetic number, because the mean of its divisors is an integer number (4780672).

Almost surely, 2^75828033 is an apocalyptic number.

It is an amenable number.

75828033 is a deficient number, since it is larger than the sum of its proper divisors (38908095).

75828033 is a wasteful number, since it uses less digits than its factorization.

75828033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 75828033 is about 8707.9293175818. The cubic root of 75828033 is about 423.2626338765.

The spelling of 75828033 in words is "seventy-five million, eight hundred twenty-eight thousand, thirty-three".