75246768 has 60 divisors (see below), whose sum is σ = 211823248. Its totient is φ = 24935040.

The previous prime is 75246757. The next prime is 75246791. The reversal of 75246768 is 86764257.

75246768 is a `hidden beast` number, since 7 + 524 + 67 + 68 = 666.

It is a super-3 number, since 3×75246768³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24621 + ... + 27507.

Almost surely, 2^75246768 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 75246768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105911624).

75246768 is an abundant number, since it is smaller than the sum of its proper divisors (136576480).

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

75246768 is a wasteful number, since it uses less digits than its factorization.

75246768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3073 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 75246768 is about 8674.4894950654. The cubic root of 75246768 is about 422.1783422953.

The spelling of 75246768 in words is "seventy-five million, two hundred forty-six thousand, seven hundred sixty-eight".