75064960 has 64 divisors (see below), whose sum is σ = 182920680. Its totient is φ = 29446144.

The previous prime is 75064949. The next prime is 75064961. The reversal of 75064960 is 6946057.

It can be written as a sum of positive squares in 4 ways, for example, as 75064896 + 64 = 8664^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (75064961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32814 + ... + 35026.

Almost surely, 2^75064960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91460340).

75064960 is an abundant number, since it is smaller than the sum of its proper divisors (107855720).

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

75064960 is a wasteful number, since it uses less digits than its factorization.

75064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 75064960 is about 8664.0036934433. The cubic root of 75064960 is about 421.8380517070.

The spelling of 75064960 in words is "seventy-five million, sixty-four thousand, nine hundred sixty".