75628672 has 32 divisors (see below), whose sum is σ = 172192320. Its totient is φ = 32411904.

The previous prime is 75628661. The next prime is 75628673. The reversal of 75628672 is 27682657.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (75628673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41308 + ... + 43099.

It is an arithmetic number, because the mean of its divisors is an integer number (5381010).

Almost surely, 2^75628672 is an apocalyptic number.

It is an amenable number.

75628672 is an abundant number, since it is smaller than the sum of its proper divisors (96563648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75628672 is an equidigital number, since it uses as much as digits as its factorization.

75628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84428 (or 84416 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 75628672 is about 8696.4746880561. The cubic root of 75628672 is about 422.8913722335.

The spelling of 75628672 in words is "seventy-five million, six hundred twenty-eight thousand, six hundred seventy-two".