10656272 has 40 divisors (see below), whose sum is σ = 22712832. Its totient is φ = 4803200.

The previous prime is 10656257. The next prime is 10656301. The reversal of 10656272 is 27265601.

It is a super-2 number, since 2×10656272² = 227112265875968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33458 + ... + 33774.

Almost surely, 2^10656272 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 10656272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356416).

10656272 is an abundant number, since it is smaller than the sum of its proper divisors (12056560).

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

10656272 is a wasteful number, since it uses less digits than its factorization.

10656272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10656272 is about 3264.3945839926. The cubic root of 10656272 is about 220.0569549508.

It can be divided in two parts, 1065 and 6272, that added together give a palindrome (7337).

The spelling of 10656272 in words is "ten million, six hundred fifty-six thousand, two hundred seventy-two".