75068064 has 72 divisors (see below), whose sum is σ = 217025172. Its totient is φ = 24606720.

The previous prime is 75068057. The next prime is 75068083. The reversal of 75068064 is 46086057.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62536464 + 12531600 = 7908^2 + 3540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15432 + ... + 19704.

Almost surely, 2^75068064 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 75068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108512586).

75068064 is an abundant number, since it is smaller than the sum of its proper divisors (141957108).

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

75068064 is a wasteful number, since it uses less digits than its factorization.

75068064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4339 counting only the distinct ones).

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

The square root of 75068064 is about 8664.1828235558. The cubic root of 75068064 is about 421.8438660810.

The spelling of 75068064 in words is "seventy-five million, sixty-eight thousand, sixty-four".