10272743 has 32 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 8160768.

The previous prime is 10272733. The next prime is 10272761. The reversal of 10272743 is 34727201.

It is not a de Polignac number, because 10272743 - 2²⁰ = 9224167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218546 + ... + 218592.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^10272743 is an apocalyptic number.

10272743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10272743 is a deficient number, since it is larger than the sum of its proper divisors (2500633).

10272743 is a wasteful number, since it uses less digits than its factorization.

10272743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 10272743 is about 3205.1120105232. The cubic root of 10272743 is about 217.3846166528.

Adding to 10272743 its reverse (34727201), we get a palindrome (44999944).

The spelling of 10272743 in words is "ten million, two hundred seventy-two thousand, seven hundred forty-three".