10458272 has 72 divisors (see below), whose sum is σ = 23561748. Its totient is φ = 4561920.

The previous prime is 10458271. The next prime is 10458293. The reversal of 10458272 is 27285401.

It can be written as a sum of positive squares in 2 ways, for example, as 9759376 + 698896 = 3124^2 + 836^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10458271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143228 + ... + 143300.

Almost surely, 2^10458272 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 10458272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780874).

10458272 is an abundant number, since it is smaller than the sum of its proper divisors (13103476).

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

10458272 is a wasteful number, since it uses less digits than its factorization.

10458272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 10458272 is about 3233.9251692023. The cubic root of 10458272 is about 218.6854947764.

The spelling of 10458272 in words is "ten million, four hundred fifty-eight thousand, two hundred seventy-two".