2072064 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 645120.

The previous prime is 2072053. The next prime is 2072087. The reversal of 2072064 is 4602702.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2072064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29149 + ... + 29219.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^2072064 is an apocalyptic number.

2072064 is a gapful number since it is divisible by the number (24) 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 2072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2072064 is an abundant number, since it is smaller than the sum of its proper divisors (3820416).

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

2072064 is an equidigital number, since it uses as much as digits as its factorization.

2072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2072064 is about 1439.4665678646. The cubic root of 2072064 is about 127.4875343445.

Adding to 2072064 its reverse (4602702), we get a palindrome (6674766).

The spelling of 2072064 in words is "two million, seventy-two thousand, sixty-four".