75628 has 24 divisors (see below), whose sum is σ = 157472. Its totient is φ = 31104.

The previous prime is 75619. The next prime is 75629. The reversal of 75628 is 82657.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 75596 and 75605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75629) 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, 1000 + ... + 1072.

2⁷⁵⁶²⁸ 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 75628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78736).

75628 is an abundant number, since it is smaller than the sum of its proper divisors (81844).

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

75628 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 75628 = (28567)₁₃.

75628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 75628 is about 275.0054544914. The cubic root of 75628 is about 42.2890119693.

75628 divided by its sum of digits (28) gives a triangular number (2701 = T₇₃).

It can be divided in two parts, 756 and 28, that added together give a square (784 = 28²).

The spelling of 75628 in words is "seventy-five thousand, six hundred twenty-eight".