75006752 has 18 divisors (see below), whose sum is σ = 147766059. Its totient is φ = 37478880.

The previous prime is 75006751. The next prime is 75006769. The reversal of 75006752 is 25760057.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 37503376 + 37503376 = 6124^2 + 6124^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6124.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75006751) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 48227 + ... + 49757.

Almost surely, 2^75006752 is an apocalyptic number.

It is an amenable number.

75006752 is a deficient number, since it is larger than the sum of its proper divisors (72759307).

75006752 is an frugal number, since it uses more digits than its factorization.

75006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 75006752 is about 8660.6438559728. The cubic root of 75006752 is about 421.7289875097.

Multiplying 75006752 by its sum of digits (32), we get a square (2400216064 = 48992²).

75006752 divided by its sum of digits (32) gives a square (2343961 = 1531²).

The spelling of 75006752 in words is "seventy-five million, six thousand, seven hundred fifty-two".