75928632 has 64 divisors (see below), whose sum is σ = 205272480. Its totient is φ = 23265792.

The previous prime is 75928553. The next prime is 75928639. The reversal of 75928632 is 23682957.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75928639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123558 + ... + 124170.

Almost surely, 2^75928632 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 75928632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102636240).

75928632 is an abundant number, since it is smaller than the sum of its proper divisors (129343848).

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

75928632 is a wasteful number, since it uses less digits than its factorization.

75928632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 75928632 is about 8713.7036901653. The cubic root of 75928632 is about 423.4497281918.

The spelling of 75928632 in words is "seventy-five million, nine hundred twenty-eight thousand, six hundred thirty-two".