10729872 has 60 divisors (see below), whose sum is σ = 30249180. Its totient is φ = 3550464.

The previous prime is 10729871. The next prime is 10729879. The reversal of 10729872 is 27892701.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 9511056 = 1104^2 + 3084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10729871) 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 11 ways as a sum of consecutive naturals, for example, 38598 + ... + 38874.

It is an arithmetic number, because the mean of its divisors is an integer number (504153).

Almost surely, 2^10729872 is an apocalyptic number.

10729872 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 10729872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124590).

10729872 is an abundant number, since it is smaller than the sum of its proper divisors (19519308).

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

10729872 is a wasteful number, since it uses less digits than its factorization.

10729872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10729872 is about 3275.6483327732. The cubic root of 10729872 is about 220.5624177345.

The spelling of 10729872 in words is "ten million, seven hundred twenty-nine thousand, eight hundred seventy-two".