5772960 has 144 divisors (see below), whose sum is σ = 20835360. Its totient is φ = 1451520.

The previous prime is 5772953. The next prime is 5772961. The reversal of 5772960 is 692775.

5772960 is a `hidden beast` number, since 577 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5³ + 7² + 7⁸ + 2⁷ + 9² + 6⁵ + 0 .

It is not an unprimeable number, because it can be changed into a prime (5772961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27255 + ... + 27465.

It is an arithmetic number, because the mean of its divisors is an integer number (144690).

Almost surely, 2^5772960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417680).

5772960 is an abundant number, since it is smaller than the sum of its proper divisors (15062400).

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

5772960 is a wasteful number, since it uses less digits than its factorization.

5772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5772960 is about 2402.6984829562. The cubic root of 5772960 is about 179.3905312989.

The spelling of 5772960 in words is "five million, seven hundred seventy-two thousand, nine hundred sixty".