20072160 has 144 divisors (see below), whose sum is σ = 70053984. Its totient is φ = 5231616.

The previous prime is 20072141. The next prime is 20072161. The reversal of 20072160 is 6127002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20072161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76189 + ... + 76451.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 2^20072160 is an apocalyptic number.

20072160 is a gapful number since it is divisible by the number (20) 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 20072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35026992).

20072160 is an abundant number, since it is smaller than the sum of its proper divisors (49981824).

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

20072160 is a wasteful number, since it uses less digits than its factorization.

20072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

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

The square root of 20072160 is about 4480.1964242653. The cubic root of 20072160 is about 271.7678237880.

Adding to 20072160 its reverse (6127002), we get a palindrome (26199162).

The spelling of 20072160 in words is "twenty million, seventy-two thousand, one hundred sixty".