75630 has 16 divisors (see below), whose sum is σ = 181584. Its totient is φ = 20160.

The previous prime is 75629. The next prime is 75641. The reversal of 75630 is 3657.

75630 = 136² + 137² + ... + 139².

It is a plaindrome in base 8.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 75597 and 75606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (11349).

2⁷⁵⁶³⁰ is an apocalyptic number.

75630 is an abundant number, since it is smaller than the sum of its proper divisors (105954).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90792).

75630 is a wasteful number, since it uses less digits than its factorization.

75630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 75630 is about 275.0090907588. The cubic root of 75630 is about 42.2893847470.

The spelling of 75630 in words is "seventy-five thousand, six hundred thirty".