10272160 has 96 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3732480.

The previous prime is 10272151. The next prime is 10272169. The reversal of 10272160 is 6127201.

10272160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10272151) and next prime (10272169).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94186 + ... + 94294.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 2^10272160 is an apocalyptic number.

10272160 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 10272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

10272160 is an abundant number, since it is smaller than the sum of its proper divisors (16339040).

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

10272160 is a wasteful number, since it uses less digits than its factorization.

10272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10272160 is about 3205.0210607732. The cubic root of 10272160 is about 217.3805042287.

Adding to 10272160 its reverse (6127201), we get a palindrome (16399361).

The spelling of 10272160 in words is "ten million, two hundred seventy-two thousand, one hundred sixty".