2272872 has 64 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 637632.

The previous prime is 2272861. The next prime is 2272903. The reversal of 2272872 is 2782722.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13863 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

2^2272872 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 2272872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2272872 is an abundant number, since it is smaller than the sum of its proper divisors (4339608).

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

2272872 is a wasteful number, since it uses less digits than its factorization.

2272872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 2272872 is about 1507.6047227307. The cubic root of 2272872 is about 131.4795854713.

The spelling of 2272872 in words is "two million, two hundred seventy-two thousand, eight hundred seventy-two".