2137872 has 40 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 647680.

The previous prime is 2137871. The next prime is 2137879. The reversal of 2137872 is 2787312.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2⁵ + 1 + 3⁸ + 7⁵ + 8³ + 7⁵ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2137871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

2^2137872 is an apocalyptic number.

2137872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2137872 is an abundant number, since it is smaller than the sum of its proper divisors (3888528).

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

2137872 is a wasteful number, since it uses less digits than its factorization.

2137872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4065 counting only the distinct ones).

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

The square root of 2137872 is about 1462.1463675022. The cubic root of 2137872 is about 128.8231456675.

The spelling of 2137872 in words is "two million, one hundred thirty-seven thousand, eight hundred seventy-two".