75342976 has 32 divisors (see below), whose sum is σ = 151454700. Its totient is φ = 37330944.

The previous prime is 75342973. The next prime is 75342977. The reversal of 75342976 is 67924357.

It can be written as a sum of positive squares in 2 ways, for example, as 75342400 + 576 = 8680^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (75342973) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11860 + ... + 17068.

Almost surely, 2^75342976 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 75342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75727350).

75342976 is an abundant number, since it is smaller than the sum of its proper divisors (76111724).

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

75342976 is a wasteful number, since it uses less digits than its factorization.

75342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5324 counting only the distinct ones).

The product of its digits is 317520, while the sum is 43.

The square root of 75342976 is about 8680.0331796601. The cubic root of 75342976 is about 422.3581933677.

The spelling of 75342976 in words is "seventy-five million, three hundred forty-two thousand, nine hundred seventy-six".