75273968 has 40 divisors (see below), whose sum is σ = 181833600. Its totient is φ = 29327040.

The previous prime is 75273959. The next prime is 75273971. The reversal of 75273968 is 86937257.

It is a congruent number.

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, 29318 + ... + 31781.

It is an arithmetic number, because the mean of its divisors is an integer number (4545840).

Almost surely, 2^75273968 is an apocalyptic number.

It is an amenable number.

75273968 is an abundant number, since it is smaller than the sum of its proper divisors (106559632).

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

75273968 is a wasteful number, since it uses less digits than its factorization.

75273968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61125 (or 61119 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 75273968 is about 8676.0571690140. The cubic root of 75273968 is about 422.2292054657.

It can be divided in two parts, 7 and 5273968, that multiplied together give a square (36917776 = 6076²).

The spelling of 75273968 in words is "seventy-five million, two hundred seventy-three thousand, nine hundred sixty-eight".