2368872 has 64 divisors (see below), whose sum is σ = 7185600. Its totient is φ = 717120.

The previous prime is 2368871. The next prime is 2368907. The reversal of 2368872 is 2788632.

It is a happy number.

It is a super-2 number, since 2×2368872² = 11223109104768, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2¹⁸ + 3⁴ + 6⁴ + 8⁴ + 8⁴ + 7 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2368871) 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, 1878 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (112275).

2^2368872 is an apocalyptic number.

2368872 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 2368872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592800).

2368872 is an abundant number, since it is smaller than the sum of its proper divisors (4816728).

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

2368872 is a wasteful number, since it uses less digits than its factorization.

2368872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2368872 is about 1539.1140308632. The cubic root of 2368872 is about 133.3052329671.

It can be divided in two parts, 2368 and 872, that added together give a triangular number (3240 = T₈₀).

The spelling of 2368872 in words is "two million, three hundred sixty-eight thousand, eight hundred seventy-two".