75564032 has 44 divisors (see below), whose sum is σ = 152665260. Its totient is φ = 37380096.

The previous prime is 75564023. The next prime is 75564037. The reversal of 75564032 is 23046557.

It can be written as a sum of positive squares in 2 ways, for example, as 67634176 + 7929856 = 8224^2 + 2816^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 75564032.

It is not an unprimeable number, because it can be changed into a prime (75564037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111278 + ... + 111954.

It is an arithmetic number, because the mean of its divisors is an integer number (3469665).

Almost surely, 2^75564032 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 75564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76332630).

75564032 is an abundant number, since it is smaller than the sum of its proper divisors (77101228).

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

75564032 is a wasteful number, since it uses less digits than its factorization.

75564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 75564032 is about 8692.7574451379. The cubic root of 75564032 is about 422.7708558154.

The spelling of 75564032 in words is "seventy-five million, five hundred sixty-four thousand, thirty-two".