4072080 has 120 divisors (see below), whose sum is σ = 13606272. Its totient is φ = 1006848.

The previous prime is 4072073. The next prime is 4072091. The reversal of 4072080 is 802704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86617 + ... + 86663.

Almost surely, 2^4072080 is an apocalyptic number.

4072080 is a gapful number since it is divisible by the number (40) 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 4072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803136).

4072080 is an abundant number, since it is smaller than the sum of its proper divisors (9534192).

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

4072080 is a wasteful number, since it uses less digits than its factorization.

4072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4072080 is about 2017.9395431975. The cubic root of 4072080 is about 159.6879334026.

Adding to 4072080 its reverse (802704), we get a palindrome (4874784).

The spelling of 4072080 in words is "four million, seventy-two thousand, eighty".