2160072 has 48 divisors (see below), whose sum is σ = 6162000. Its totient is φ = 681696.

The previous prime is 2160061. The next prime is 2160101. The reversal of 2160072 is 2700612.

It is a happy number.

It is a super-2 number, since 2×2160072² = 9331822090368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (128375).

2^2160072 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 2160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081000).

2160072 is an abundant number, since it is smaller than the sum of its proper divisors (4001928).

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

2160072 is a wasteful number, since it uses less digits than its factorization.

2160072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2160072 is about 1469.7183403632. The cubic root of 2160072 is about 129.2675176757.

Adding to 2160072 its reverse (2700612), we get a palindrome (4860684).

The spelling of 2160072 in words is "two million, one hundred sixty thousand, seventy-two".