2072167272 has 160 divisors (see below), whose sum is σ = 6769224000. Its totient is φ = 591984288.

The previous prime is 2072167259. The next prime is 2072167289. The reversal of 2072167272 is 2727612702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217603 + ... + 226925.

It is an arithmetic number, because the mean of its divisors is an integer number (42307650).

Almost surely, 2^2072167272 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 2072167272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384612000).

2072167272 is an abundant number, since it is smaller than the sum of its proper divisors (4697056728).

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

2072167272 is an equidigital number, since it uses as much as digits as its factorization.

2072167272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2072167272 is about 45521.0640473177. The cubic root of 2072167272 is about 1274.8965230901.

Adding to 2072167272 its reverse (2727612702), we get a palindrome (4799779974).

The spelling of 2072167272 in words is "two billion, seventy-two million, one hundred sixty-seven thousand, two hundred seventy-two".