2871792 has 180 divisors, whose sum is σ = 10474776. Its totient is φ = 725760.

The previous prime is 2871767. The next prime is 2871797. The reversal of 2871792 is 2971782.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2871797) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77598 + ... + 77634.

2^2871792 is an apocalyptic number.

2871792 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 2871792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237388).

2871792 is an abundant number, since it is smaller than the sum of its proper divisors (7602984).

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

2871792 is a wasteful number, since it uses less digits than its factorization.

2871792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2871792 is about 1694.6362441539. The cubic root of 2871792 is about 142.1404416265.

It can be divided in two parts, 2871 and 792, that added together give a palindrome (3663).

The spelling of 2871792 in words is "two million, eight hundred seventy-one thousand, seven hundred ninety-two".