75266568 has 96 divisors (see below), whose sum is σ = 222058200. Its totient is φ = 22892544.

The previous prime is 75266563. The next prime is 75266573. The reversal of 75266568 is 86566257.

75266568 is a `hidden beast` number, since 7 + 526 + 65 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (75266563) and next prime (75266573).

It can be written as a sum of positive squares in 4 ways, for example, as 52969284 + 22297284 = 7278^2 + 4722^2 .

It is not an unprimeable number, because it can be changed into a prime (75266561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90378 + ... + 91206.

Almost surely, 2^75266568 is an apocalyptic number.

75266568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75266568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111029100).

75266568 is an abundant number, since it is smaller than the sum of its proper divisors (146791632).

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

75266568 is a wasteful number, since it uses less digits than its factorization.

75266568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 75266568 is about 8675.6306975343. The cubic root of 75266568 is about 422.2153689049.

The spelling of 75266568 in words is "seventy-five million, two hundred sixty-six thousand, five hundred sixty-eight".