75054564 has 36 divisors (see below), whose sum is σ = 204316476. Its totient is φ = 23093568.

The previous prime is 75054547. The next prime is 75054569. The reversal of 75054564 is 46545057.

It is a happy number.

75054564 is a `hidden beast` number, since 7 + 50 + 545 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 69856164 = 2280^2 + 8358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (75054569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79719 + ... + 80654.

Almost surely, 2^75054564 is an apocalyptic number.

It is an amenable number.

75054564 is an abundant number, since it is smaller than the sum of its proper divisors (129261912).

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

75054564 is a wasteful number, since it uses less digits than its factorization.

75054564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160396 (or 160391 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 75054564 is about 8663.4037190933. The cubic root of 75054564 is about 421.8185768821.

The spelling of 75054564 in words is "seventy-five million, fifty-four thousand, five hundred sixty-four".