307872 has 36 divisors (see below), whose sum is σ = 876330. Its totient is φ = 102528.

The previous prime is 307871. The next prime is 307873. The reversal of 307872 is 278703.

It is an interprime number because it is at equal distance from previous prime (307871) and next prime (307873).

It can be written as a sum of positive squares in only one way, i.e., 266256 + 41616 = 516^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (307871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247 + ... + 822.

2³⁰⁷⁸⁷² is an apocalyptic number.

307872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

307872 is an abundant number, since it is smaller than the sum of its proper divisors (568458).

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

307872 is a wasteful number, since it uses less digits than its factorization.

307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 307872 is about 554.8621450415. The cubic root of 307872 is about 67.5237776313.

The spelling of 307872 in words is "three hundred seven thousand, eight hundred seventy-two".