307803072 has 112 divisors (see below), whose sum is σ = 849258144. Its totient is φ = 98304000.

The previous prime is 307803049. The next prime is 307803077. The reversal of 307803072 is 270308703.

It is a super-2 number, since 2×307803072² = 189485462265274368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307803077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479872 + ... + 480512.

It is an arithmetic number, because the mean of its divisors is an integer number (7582662).

Almost surely, 2^307803072 is an apocalyptic number.

307803072 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 307803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424629072).

307803072 is an abundant number, since it is smaller than the sum of its proper divisors (541455072).

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

307803072 is a wasteful number, since it uses less digits than its factorization.

307803072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 307803072 is about 17544.3173705904. The cubic root of 307803072 is about 675.1873806256.

The spelling of 307803072 in words is "three hundred seven million, eight hundred three thousand, seventy-two".