2712112172 has 72 divisors (see below), whose sum is σ = 6039947088. Its totient is φ = 1053696000.

The previous prime is 2712112171. The next prime is 2712112189.

2712112172 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2712112171) 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, 862988 + ... + 866124.

It is an arithmetic number, because the mean of its divisors is an integer number (83888154).

Almost surely, 2^2712112172 is an apocalyptic number.

2712112172 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 2712112172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019973544).

2712112172 is an abundant number, since it is smaller than the sum of its proper divisors (3327834916).

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

2712112172 is a wasteful number, since it uses less digits than its factorization.

2712112172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3558 counting only the distinct ones).

The product of its digits is 784, while the sum is 26.

The square root of 2712112172 is about 52077.9432389567. The cubic root of 2712112172 is about 1394.5557561640. Note that the first 3 decimals are identical.

It can be divided in two parts, 27121 and 12172, that added together give a palindrome (39293).

The spelling of 2712112172 in words is "two billion, seven hundred twelve million, one hundred twelve thousand, one hundred seventy-two".