10272768 has 120 divisors (see below), whose sum is σ = 31456320. Its totient is φ = 2949120.

The previous prime is 10272767. The next prime is 10272803. The reversal of 10272768 is 86727201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10272761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540663 + ... + 540681.

It is an arithmetic number, because the mean of its divisors is an integer number (262136).

Almost surely, 2^10272768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728160).

10272768 is an abundant number, since it is smaller than the sum of its proper divisors (21183552).

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

10272768 is an equidigital number, since it uses as much as digits as its factorization.

10272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10272768 is about 3205.1159105405. The cubic root of 10272768 is about 217.3847929969.

Adding to 10272768 its reverse (86727201), we get a palindrome (96999969).

The spelling of 10272768 in words is "ten million, two hundred seventy-two thousand, seven hundred sixty-eight".