10438272 has 192 divisors, whose sum is σ = 35085960. Its totient is φ = 2949120.

The previous prime is 10438271. The next prime is 10438279. The reversal of 10438272 is 27283401.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 4562496 = 2424^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10438271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254572 + ... + 254612.

Almost surely, 2^10438272 is an apocalyptic number.

10438272 is a gapful number since it is divisible by the number (12) 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 10438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542980).

10438272 is an abundant number, since it is smaller than the sum of its proper divisors (24647688).

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

10438272 is a wasteful number, since it uses less digits than its factorization.

10438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10438272 is about 3230.8314719279. The cubic root of 10438272 is about 218.5460038898.

The spelling of 10438272 in words is "ten million, four hundred thirty-eight thousand, two hundred seventy-two".