4072560 has 80 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1066240.

The previous prime is 4072559. The next prime is 4072577. The reversal of 4072560 is 652704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4072560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16921 + ... + 17159.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^4072560 is an apocalyptic number.

4072560 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 4072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

4072560 is an abundant number, since it is smaller than the sum of its proper divisors (8783760).

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

4072560 is a wasteful number, since it uses less digits than its factorization.

4072560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4072560 is about 2018.0584728892. The cubic root of 4072560 is about 159.6942076078.

The spelling of 4072560 in words is "four million, seventy-two thousand, five hundred sixty".