2382072 has 64 divisors (see below), whose sum is σ = 7430400. Its totient is φ = 618240.

The previous prime is 2382001. The next prime is 2382073. The reversal of 2382072 is 2702832.

2382072 = T₁₆₈ + T₁₆₉ + ... + T₂₆₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382073) 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, 1204 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (116100).

2^2382072 is an apocalyptic number.

2382072 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 2382072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715200).

2382072 is an abundant number, since it is smaller than the sum of its proper divisors (5048328).

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

2382072 is a wasteful number, since it uses less digits than its factorization.

2382072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2382072 is about 1543.3962550168. The cubic root of 2382072 is about 133.5523788348.

The spelling of 2382072 in words is "two million, three hundred eighty-two thousand, seventy-two".