2872320 has 176 divisors, whose sum is σ = 10611648. Its totient is φ = 655360.

The previous prime is 2872313. The next prime is 2872327. The reversal of 2872320 is 232782.

2872320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2872313) and next prime (2872327).

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872327) 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, 168952 + ... + 168968.

2^2872320 is an apocalyptic number.

2872320 is a gapful number since it is divisible by the number (20) 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 2872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305824).

2872320 is an abundant number, since it is smaller than the sum of its proper divisors (7739328).

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

2872320 is a wasteful number, since it uses less digits than its factorization.

2872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

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

The square root of 2872320 is about 1694.7920226388. The cubic root of 2872320 is about 142.1491522799.

The spelling of 2872320 in words is "two million, eight hundred seventy-two thousand, three hundred twenty".