75384945 has 48 divisors (see below), whose sum is σ = 138136320. Its totient is φ = 38988864.

The previous prime is 75384943. The next prime is 75384971. The reversal of 75384945 is 54948357.

75384945 = 65² + 66² + ... + 609².

It is not a de Polignac number, because 75384945 - 2¹ = 75384943 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75384945.

It is not an unprimeable number, because it can be changed into a prime (75384941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691551 + ... + 691659.

It is an arithmetic number, because the mean of its divisors is an integer number (2877840).

Almost surely, 2^75384945 is an apocalyptic number.

It is an amenable number.

75384945 is a deficient number, since it is larger than the sum of its proper divisors (62751375).

75384945 is a wasteful number, since it uses less digits than its factorization.

75384945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 164 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 75384945 is about 8682.4504029680. The cubic root of 75384945 is about 422.4366021840.

The spelling of 75384945 in words is "seventy-five million, three hundred eighty-four thousand, nine hundred forty-five".