10729625 has 8 divisors (see below), whose sum is σ = 13390728. Its totient is φ = 8583600.

The previous prime is 10729619. The next prime is 10729643. The reversal of 10729625 is 52692701.

10729625 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 10686361 = 208^2 + 3269^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10729625 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10729591 and 10729600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42794 + ... + 43043.

It is an arithmetic number, because the mean of its divisors is an integer number (1673841).

Almost surely, 2^10729625 is an apocalyptic number.

It is an amenable number.

10729625 is a deficient number, since it is larger than the sum of its proper divisors (2661103).

10729625 is an frugal number, since it uses more digits than its factorization.

10729625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85852 (or 85842 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 10729625 is about 3275.6106300963. The cubic root of 10729625 is about 220.5607252839.

The spelling of 10729625 in words is "ten million, seven hundred twenty-nine thousand, six hundred twenty-five".