2386272 has 96 divisors (see below), whose sum is σ = 7402752. Its totient is φ = 658944.

The previous prime is 2386271. The next prime is 2386277. The reversal of 2386272 is 2726832.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 2⁷ + 3² + 8³ + 6⁷ + 2¹³ + 7³ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2386271) 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, 35583 + ... + 35649.

It is an arithmetic number, because the mean of its divisors is an integer number (77112).

2^2386272 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 2386272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376).

2386272 is an abundant number, since it is smaller than the sum of its proper divisors (5016480).

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

2386272 is a wasteful number, since it uses less digits than its factorization.

2386272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2386272 is about 1544.7562914583. The cubic root of 2386272 is about 133.6308246372.

The spelling of 2386272 in words is "two million, three hundred eighty-six thousand, two hundred seventy-two".