305139072 has 96 divisors (see below), whose sum is σ = 942914520. Its totient is φ = 87177216.

The previous prime is 305139071. The next prime is 305139083. The reversal of 305139072 is 270931503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×305139072² = 186219706522042368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305139071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10708 + ... + 26924.

Almost surely, 2^305139072 is an apocalyptic number.

305139072 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 305139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471457260).

305139072 is an abundant number, since it is smaller than the sum of its proper divisors (637775448).

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

305139072 is a wasteful number, since it uses less digits than its factorization.

305139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16248 (or 16229 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 305139072 is about 17468.2303625754. The cubic root of 305139072 is about 673.2338442905.

The spelling of 305139072 in words is "three hundred five million, one hundred thirty-nine thousand, seventy-two".