305087872 has 32 divisors (see below), whose sum is σ = 613836000. Its totient is φ = 151027200.

The previous prime is 305087851. The next prime is 305087873. The reversal of 305087872 is 278780503.

305087872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305087873) 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, 1129 + ... + 24727.

It is an arithmetic number, because the mean of its divisors is an integer number (19182375).

Almost surely, 2^305087872 is an apocalyptic number.

305087872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306918000).

305087872 is an abundant number, since it is smaller than the sum of its proper divisors (308748128).

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

305087872 is a wasteful number, since it uses less digits than its factorization.

305087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23714 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 305087872 is about 17466.7647834394. The cubic root of 305087872 is about 673.1961876894.

The spelling of 305087872 in words is "three hundred five million, eighty-seven thousand, eight hundred seventy-two".