10272120 has 32 divisors (see below), whose sum is σ = 30816720. Its totient is φ = 2739200.

The previous prime is 10272083. The next prime is 10272127. The reversal of 10272120 is 2127201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10272120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272127) 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, 42681 + ... + 42920.

Almost surely, 2^10272120 is an apocalyptic number.

10272120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10272120 is an abundant number, since it is smaller than the sum of its proper divisors (20544600).

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

10272120 is a wasteful number, since it uses less digits than its factorization.

10272120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85615 (or 85611 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10272120 is about 3205.0148205586. The cubic root of 10272120 is about 217.3802220669.

Adding to 10272120 its reverse (2127201), we get a palindrome (12399321).

The spelling of 10272120 in words is "ten million, two hundred seventy-two thousand, one hundred twenty".