75541536 has 216 divisors, whose sum is σ = 257129964. Its totient is φ = 20966400.

The previous prime is 75541519. The next prime is 75541541. The reversal of 75541536 is 63514557.

75541536 is a `hidden beast` number, since 75 + 54 + 1 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63680400 + 11861136 = 7980^2 + 3444^2 .

It is a super-2 number, since 2×75541536² = 11413047322478592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75541536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 747886 + ... + 747986.

Almost surely, 2^75541536 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 75541536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128564982).

75541536 is an abundant number, since it is smaller than the sum of its proper divisors (181588428).

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

75541536 is a wasteful number, since it uses less digits than its factorization.

75541536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 75541536 is about 8691.4633980705. The cubic root of 75541536 is about 422.7288975941.

The spelling of 75541536 in words is "seventy-five million, five hundred forty-one thousand, five hundred thirty-six".