75831072 has 48 divisors (see below), whose sum is σ = 201015360. Its totient is φ = 25028352.

The previous prime is 75831043. The next prime is 75831083. The reversal of 75831072 is 27013857.

It is a tau number, because it is divible by the number of its divisors (48).

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, 6054 + ... + 13722.

It is an arithmetic number, because the mean of its divisors is an integer number (4187820).

Almost surely, 2^75831072 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 75831072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100507680).

75831072 is an abundant number, since it is smaller than the sum of its proper divisors (125184288).

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

75831072 is a wasteful number, since it uses less digits than its factorization.

75831072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 75831072 is about 8708.1038119673. The cubic root of 75831072 is about 423.2682882407.

The spelling of 75831072 in words is "seventy-five million, eight hundred thirty-one thousand, seventy-two".