2120272 has 40 divisors (see below), whose sum is σ = 5124672. Its totient is φ = 825600.

The previous prime is 2120269. The next prime is 2120297. The reversal of 2120272 is 2720212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 2092.

2^2120272 is an apocalyptic number.

2120272 is a gapful number since it is divisible by the number (22) 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 2120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336).

2120272 is an abundant number, since it is smaller than the sum of its proper divisors (3004400).

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

2120272 is a wasteful number, since it uses less digits than its factorization.

2120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2120272 is about 1456.1153800438. The cubic root of 2120272 is about 128.4686595585.

Adding to 2120272 its reverse (2720212), we get a palindrome (4840484).

The spelling of 2120272 in words is "two million, one hundred twenty thousand, two hundred seventy-two".