10729040 has 160 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3311616.

The previous prime is 10729027. The next prime is 10729049. The reversal of 10729040 is 4092701.

It is a super-3 number, since 3×10729040³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 10728997 and 10729015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10729049) 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 31 ways as a sum of consecutive naturals, for example, 466469 + ... + 466491.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^10729040 is an apocalyptic number.

10729040 is a gapful number since it is divisible by the number (10) 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 10729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

10729040 is an abundant number, since it is smaller than the sum of its proper divisors (21411760).

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

10729040 is a wasteful number, since it uses less digits than its factorization.

10729040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 10729040 is about 3275.5213325515. The cubic root of 10729040 is about 220.5567167446.

The spelling of 10729040 in words is "ten million, seven hundred twenty-nine thousand, forty".