10791072 has 72 divisors (see below), whose sum is σ = 31105620. Its totient is φ = 3548160.

The previous prime is 10791049. The next prime is 10791101. The reversal of 10791072 is 27019701.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 2702736 = 2844^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 25422 + ... + 25842.

Almost surely, 2^10791072 is an apocalyptic number.

10791072 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 10791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552810).

10791072 is an abundant number, since it is smaller than the sum of its proper divisors (20314548).

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

10791072 is a wasteful number, since it uses less digits than its factorization.

10791072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

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

The square root of 10791072 is about 3284.9767122462. The cubic root of 10791072 is about 220.9809638060.

The spelling of 10791072 in words is "ten million, seven hundred ninety-one thousand, seventy-two".