10786272 has 72 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 3080448.

The previous prime is 10786267. The next prime is 10786283. The reversal of 10786272 is 27268701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558 + ... + 5850.

It is an arithmetic number, because the mean of its divisors is an integer number (457653).

Almost surely, 2^10786272 is an apocalyptic number.

10786272 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 10786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

10786272 is an abundant number, since it is smaller than the sum of its proper divisors (22164744).

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

10786272 is a wasteful number, since it uses less digits than its factorization.

10786272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10786272 is about 3284.2460321967. The cubic root of 10786272 is about 220.9481939404.

The spelling of 10786272 in words is "ten million, seven hundred eighty-six thousand, two hundred seventy-two".