305734272 has 64 divisors (see below), whose sum is σ = 820251360. Its totient is φ = 100889600.

The previous prime is 305734267. The next prime is 305734279. The reversal of 305734272 is 272437503.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (305734279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34843 + ... + 42725.

Almost surely, 2^305734272 is an apocalyptic number.

305734272 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 305734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410125680).

305734272 is an abundant number, since it is smaller than the sum of its proper divisors (514517088).

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

305734272 is a wasteful number, since it uses less digits than its factorization.

305734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 305734272 is about 17485.2587055497. The cubic root of 305734272 is about 673.6712934886.

The spelling of 305734272 in words is "three hundred five million, seven hundred thirty-four thousand, two hundred seventy-two".