75005768 has 32 divisors (see below), whose sum is σ = 156751200. Its totient is φ = 33437952.

The previous prime is 75005747. The next prime is 75005773. The reversal of 75005768 is 86750057.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11930 + ... + 17097.

It is an arithmetic number, because the mean of its divisors is an integer number (4898475).

Almost surely, 2^75005768 is an apocalyptic number.

It is an amenable number.

75005768 is an abundant number, since it is smaller than the sum of its proper divisors (81745432).

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

75005768 is a wasteful number, since it uses less digits than its factorization.

75005768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29069 (or 29065 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 75005768 is about 8660.5870470771. The cubic root of 75005768 is about 421.7271433062.

The spelling of 75005768 in words is "seventy-five million, five thousand, seven hundred sixty-eight".