10612272 has 80 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3168000.

The previous prime is 10612237. The next prime is 10612291. The reversal of 10612272 is 27221601.

It is a super-2 number, since 2×10612272² = 225240634003968, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53229 + ... + 53427.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^10612272 is an apocalyptic number.

10612272 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 10612272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

10612272 is an abundant number, since it is smaller than the sum of its proper divisors (19742928).

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

10612272 is a wasteful number, since it uses less digits than its factorization.

10612272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10612272 is about 3257.6482314701. The cubic root of 10612272 is about 219.7536636715.

Adding to 10612272 its reverse (27221601), we get a palindrome (37833873).

It can be divided in two parts, 1061 and 2272, that added together give a palindrome (3333).

The spelling of 10612272 in words is "ten million, six hundred twelve thousand, two hundred seventy-two".