10729740 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2405376.

The previous prime is 10729727. The next prime is 10729781. The reversal of 10729740 is 4792701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10729698 and 10729707.

It is an unprimeable number.

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, 24564 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^10729740 is an apocalyptic number.

10729740 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 10729740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10729740 is an abundant number, since it is smaller than the sum of its proper divisors (24268020).

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

10729740 is a wasteful number, since it uses less digits than its factorization.

10729740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10729740 is about 3275.6281840282. The cubic root of 10729740 is about 220.5615132702.

The spelling of 10729740 in words is "ten million, seven hundred twenty-nine thousand, seven hundred forty".