10272735 has 24 divisors (see below), whose sum is σ = 19425744. Its totient is φ = 4980480.

The previous prime is 10272733. The next prime is 10272761. The reversal of 10272735 is 53727201.

It is not a de Polignac number, because 10272735 - 2¹ = 10272733 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10272699 and 10272708.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9882 + ... + 10871.

It is an arithmetic number, because the mean of its divisors is an integer number (809406).

Almost surely, 2^10272735 is an apocalyptic number.

10272735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10272735 is a deficient number, since it is larger than the sum of its proper divisors (9153009).

10272735 is a wasteful number, since it uses less digits than its factorization.

10272735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20775 (or 20772 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10272735 is about 3205.1107625166. The cubic root of 10272735 is about 217.3845602227.

Adding to 10272735 its reverse (53727201), we get a palindrome (63999936).

The spelling of 10272735 in words is "ten million, two hundred seventy-two thousand, seven hundred thirty-five".