75164436 has 60 divisors (see below), whose sum is σ = 198330132. Its totient is φ = 24820992.

The previous prime is 75164431. The next prime is 75164443. The reversal of 75164436 is 63446157.

It is a happy number.

75164436 is a `hidden beast` number, since 7 + 5 + 1 + 644 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 59907600 = 3906^2 + 7740^2 .

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 75164436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75164431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35586 + ... + 37638.

Almost surely, 2^75164436 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 75164436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99165066).

75164436 is an abundant number, since it is smaller than the sum of its proper divisors (123165696).

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

75164436 is a wasteful number, since it uses less digits than its factorization.

75164436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2171 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 75164436 is about 8669.7425567314. The cubic root of 75164436 is about 422.0243092246.

The spelling of 75164436 in words is "seventy-five million, one hundred sixty-four thousand, four hundred thirty-six".