75457872 has 80 divisors (see below), whose sum is σ = 247543680. Its totient is φ = 21558528.

The previous prime is 75457867. The next prime is 75457909. The reversal of 75457872 is 27875457.

75457872 is a `hidden beast` number, since 7 + 5 + 4 + 578 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9453 + ... + 15500.

It is an arithmetic number, because the mean of its divisors is an integer number (3094296).

Almost surely, 2^75457872 is an apocalyptic number.

75457872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75457872 is an abundant number, since it is smaller than the sum of its proper divisors (172085808).

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

75457872 is a wasteful number, since it uses less digits than its factorization.

75457872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24977 (or 24965 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 75457872 is about 8686.6490662395. The cubic root of 75457872 is about 422.5727792648.

The spelling of 75457872 in words is "seventy-five million, four hundred fifty-seven thousand, eight hundred seventy-two".