10731072 has 56 divisors (see below), whose sum is σ = 30979872. Its totient is φ = 3251200.

The previous prime is 10731047. The next prime is 10731079. The reversal of 10731072 is 27013701.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10731079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 429 + ... + 4652.

It is an arithmetic number, because the mean of its divisors is an integer number (553212).

Almost surely, 2^10731072 is an apocalyptic number.

10731072 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 10731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489936).

10731072 is an abundant number, since it is smaller than the sum of its proper divisors (20248800).

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

10731072 is a wasteful number, since it uses less digits than its factorization.

10731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10731072 is about 3275.8314974980. The cubic root of 10731072 is about 220.5706397970.

Adding to 10731072 its reverse (27013701), we get a palindrome (37744773).

It can be divided in two parts, 1073 and 1072, that added together give a triangular number (2145 = T₆₅).

The spelling of 10731072 in words is "ten million, seven hundred thirty-one thousand, seventy-two".