75506532 has 72 divisors (see below), whose sum is σ = 190663200. Its totient is φ = 23189760.

The previous prime is 75506527. The next prime is 75506569. The reversal of 75506532 is 23560557.

It is a junction number, because it is equal to n+sod(n) for n = 75506493 and 75506502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848344 + ... + 848432.

It is an arithmetic number, because the mean of its divisors is an integer number (2648100).

Almost surely, 2^75506532 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 75506532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331600).

75506532 is an abundant number, since it is smaller than the sum of its proper divisors (115156668).

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

75506532 is a wasteful number, since it uses less digits than its factorization.

75506532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 75506532 is about 8689.4494647244. The cubic root of 75506532 is about 422.6635936159.

The spelling of 75506532 in words is "seventy-five million, five hundred six thousand, five hundred thirty-two".