10480272 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 3034240.

The previous prime is 10480259. The next prime is 10480277. The reversal of 10480272 is 27208401.

It is a super-3 number, since 3×10480272³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10480277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11713 + ... + 12575.

Almost surely, 2^10480272 is an apocalyptic number.

10480272 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 10480272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10480272 is an abundant number, since it is smaller than the sum of its proper divisors (20374896).

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

10480272 is a wasteful number, since it uses less digits than its factorization.

10480272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10480272 is about 3237.3248215154. The cubic root of 10480272 is about 218.8387295012.

Adding to 10480272 its reverse (27208401), we get a palindrome (37688673).

The spelling of 10480272 in words is "ten million, four hundred eighty thousand, two hundred seventy-two".