9307872 has 192 divisors, whose sum is σ = 33062400. Its totient is φ = 2519424.

The previous prime is 9307819. The next prime is 9307897. The reversal of 9307872 is 2787039.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489879 + ... + 489897.

It is an arithmetic number, because the mean of its divisors is an integer number (172200).

Almost surely, 2^9307872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531200).

9307872 is an abundant number, since it is smaller than the sum of its proper divisors (23754528).

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

9307872 is an equidigital number, since it uses as much as digits as its factorization.

9307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9307872 is about 3050.8805286343. The cubic root of 9307872 is about 210.3536896828.

Adding to 9307872 its product of nonzero digits (21168), we get a triangular number (9329040 = T₄₃₁₉).

The spelling of 9307872 in words is "nine million, three hundred seven thousand, eight hundred seventy-two".