10971272 has 64 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 4723200.

The previous prime is 10971217. The next prime is 10971281. The reversal of 10971272 is 27217901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132143 + ... + 132225.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^10971272 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 10971272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

10971272 is an abundant number, since it is smaller than the sum of its proper divisors (12736888).

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

10971272 is a wasteful number, since it uses less digits than its factorization.

10971272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 10971272 is about 3312.2910500136. The cubic root of 10971272 is about 222.2042326919.

The spelling of 10971272 in words is "ten million, nine hundred seventy-one thousand, two hundred seventy-two".