9272424 has 64 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 2617344.

The previous prime is 9272423. The next prime is 9272447. The reversal of 9272424 is 4242729.

9272424 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 9⁵ + 2³ + 7⁷ + 2⁷ + 4³ + 2²³ + 4⁵ .

9272424 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9272391 and 9272400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9272423) 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, 16012 + ... + 16580.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 2^9272424 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 9272424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

9272424 is an abundant number, since it is smaller than the sum of its proper divisors (17540376).

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

9272424 is a wasteful number, since it uses less digits than its factorization.

9272424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 9272424 is about 3045.0655165365. The cubic root of 9272424 is about 210.0863137250.

Subtracting from 9272424 its product of digits (8064), we obtain a triangular number (9264360 = T₄₃₀₄).

The spelling of 9272424 in words is "nine million, two hundred seventy-two thousand, four hundred twenty-four".