75684532 has 72 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 29040000.

The previous prime is 75684491. The next prime is 75684563. The reversal of 75684532 is 23548657.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

Its product of digits (201600) is a multiple of the sum of its prime divisors (360).

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, 301407 + ... + 301657.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^75684532 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 75684532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

75684532 is an abundant number, since it is smaller than the sum of its proper divisors (93236108).

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

75684532 is a wasteful number, since it uses less digits than its factorization.

75684532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 75684532 is about 8699.6857414507. The cubic root of 75684532 is about 422.9954637014.

It can be divided in two parts, 7568 and 4532, that added together give a square (12100 = 110²).

The spelling of 75684532 in words is "seventy-five million, six hundred eighty-four thousand, five hundred thirty-two".