75570066 has 144 divisors (see below), whose sum is σ = 206525592. Its totient is φ = 19768320.

The previous prime is 75570043. The next prime is 75570067. The reversal of 75570066 is 66007557.

It can be written as a sum of positive squares in 4 ways, for example, as 55130625 + 20439441 = 7425^2 + 4521^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75570066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75570067) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481260 + ... + 481416.

Almost surely, 2^75570066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75570066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103262796).

75570066 is an abundant number, since it is smaller than the sum of its proper divisors (130955526).

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

75570066 is a wasteful number, since it uses less digits than its factorization.

75570066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 75570066 is about 8693.1045087471. The cubic root of 75570066 is about 422.7821086623.

The spelling of 75570066 in words is "seventy-five million, five hundred seventy thousand, sixty-six".