75632128 has 80 divisors (see below), whose sum is σ = 177707376. Its totient is φ = 31703040.

The previous prime is 75632101. The next prime is 75632147. The reversal of 75632128 is 82123657.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75632093 and 75632102.

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, 72700 + ... + 73732.

Almost surely, 2^75632128 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 75632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88853688).

75632128 is an abundant number, since it is smaller than the sum of its proper divisors (102075248).

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

75632128 is a wasteful number, since it uses less digits than its factorization.

75632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 75632128 is about 8696.6733869911. The cubic root of 75632128 is about 422.8978137513.

The spelling of 75632128 in words is "seventy-five million, six hundred thirty-two thousand, one hundred twenty-eight".