75672864 has 72 divisors (see below), whose sum is σ = 217369152. Its totient is φ = 24969600.

The previous prime is 75672853. The next prime is 75672871. The reversal of 75672864 is 46827657.

75672864 is a `hidden beast` number, since 7 + 567 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28389 + ... + 30939.

It is an arithmetic number, because the mean of its divisors is an integer number (3019016).

Almost surely, 2^75672864 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 75672864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108684576).

75672864 is an abundant number, since it is smaller than the sum of its proper divisors (141696288).

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

75672864 is a wasteful number, since it uses less digits than its factorization.

75672864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2659 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 75672864 is about 8699.0151166669. The cubic root of 75672864 is about 422.9737253770.

The spelling of 75672864 in words is "seventy-five million, six hundred seventy-two thousand, eight hundred sixty-four".