2713872 has 80 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 752640.

The previous prime is 2713871. The next prime is 2713873. The reversal of 2713872 is 2783172.

It is an interprime number because it is at equal distance from previous prime (2713871) and next prime (2713873).

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13678 + ... + 13874.

2^2713872 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 2713872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

2713872 is an abundant number, since it is smaller than the sum of its proper divisors (5535600).

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

2713872 is a wasteful number, since it uses less digits than its factorization.

2713872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 2713872 is about 1647.3833797875. The cubic root of 2713872 is about 139.4857322801.

It can be divided in two parts, 27 and 13872, that multiplied together give a square (374544 = 612²).

The spelling of 2713872 in words is "two million, seven hundred thirteen thousand, eight hundred seventy-two".