10971072 has 112 divisors (see below), whose sum is σ = 36901120. Its totient is φ = 3131136.

The previous prime is 10971071. The next prime is 10971101. The reversal of 10971072 is 27017901.

10971072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10971071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11643 + ... + 12549.

Almost surely, 2^10971072 is an apocalyptic number.

10971072 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 10971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450560).

10971072 is an abundant number, since it is smaller than the sum of its proper divisors (25930048).

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

10971072 is an equidigital number, since it uses as much as digits as its factorization.

10971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10971072 is about 3312.2608592923. The cubic root of 10971072 is about 222.2028824651.

Adding to 10971072 its reverse (27017901), we get a palindrome (37988973).

The spelling of 10971072 in words is "ten million, nine hundred seventy-one thousand, seventy-two".