75968040 has 32 divisors (see below), whose sum is σ = 227904480. Its totient is φ = 20258112.

The previous prime is 75968033. The next prime is 75968063. The reversal of 75968040 is 4086957.

It is a super-2 number, since 2×75968040² = 11542286202883200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75968040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316414 + ... + 316653.

It is an arithmetic number, because the mean of its divisors is an integer number (7122015).

Almost surely, 2^75968040 is an apocalyptic number.

It is an amenable number.

75968040 is an abundant number, since it is smaller than the sum of its proper divisors (151936440).

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

75968040 is a wasteful number, since it uses less digits than its factorization.

75968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633081 (or 633077 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75968040 is about 8715.9646626177. The cubic root of 75968040 is about 423.5229742576.

The spelling of 75968040 in words is "seventy-five million, nine hundred sixty-eight thousand, forty".