75628416 has 64 divisors (see below), whose sum is σ = 209646720. Its totient is φ = 24110592.

The previous prime is 75628411. The next prime is 75628447. The reversal of 75628416 is 61482657.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75628411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4551 + ... + 13113.

It is an arithmetic number, because the mean of its divisors is an integer number (3275730).

Almost surely, 2^75628416 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 75628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104823360).

75628416 is an abundant number, since it is smaller than the sum of its proper divisors (134018304).

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

75628416 is a wasteful number, since it uses less digits than its factorization.

75628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603 (or 8591 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 75628416 is about 8696.4599694358. The cubic root of 75628416 is about 422.8908950762.

The spelling of 75628416 in words is "seventy-five million, six hundred twenty-eight thousand, four hundred sixteen".