10816272 has 60 divisors (see below), whose sum is σ = 31259904. Its totient is φ = 3487680.

The previous prime is 10816271. The next prime is 10816283. The reversal of 10816272 is 27261801.

It is not an unprimeable number, because it can be changed into a prime (10816271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3253 + ... + 5675.

Almost surely, 2^10816272 is an apocalyptic number.

10816272 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 10816272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629952).

10816272 is an abundant number, since it is smaller than the sum of its proper divisors (20443632).

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

10816272 is a wasteful number, since it uses less digits than its factorization.

10816272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10816272 is about 3288.8101191768. The cubic root of 10816272 is about 221.1528463614.

The spelling of 10816272 in words is "ten million, eight hundred sixteen thousand, two hundred seventy-two".