75004416 has 120 divisors (see below), whose sum is σ = 222306084. Its totient is φ = 24330240.

The previous prime is 75004393. The next prime is 75004429. The reversal of 75004416 is 61440057.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 2822400 = 8496^2 + 1680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75004416.

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, 188730 + ... + 189126.

Almost surely, 2^75004416 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 75004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111153042).

75004416 is an abundant number, since it is smaller than the sum of its proper divisors (147301668).

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

75004416 is a wasteful number, since it uses less digits than its factorization.

75004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75004416 is about 8660.5089919704. The cubic root of 75004416 is about 421.7246093743.

The spelling of 75004416 in words is "seventy-five million, four thousand, four hundred sixteen".