75628404 has 72 divisors (see below), whose sum is σ = 205164960. Its totient is φ = 24331104.

The previous prime is 75628369. The next prime is 75628409. The reversal of 75628404 is 40482657.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75628409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26847 + ... + 29529.

Almost surely, 2^75628404 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 75628404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102582480).

75628404 is an abundant number, since it is smaller than the sum of its proper divisors (129536556).

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

75628404 is a wasteful number, since it uses less digits than its factorization.

75628404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 75628404 is about 8696.4592794999. The cubic root of 75628404 is about 422.8908727094.

The spelling of 75628404 in words is "seventy-five million, six hundred twenty-eight thousand, four hundred four".