5972760 has 96 divisors (see below), whose sum is σ = 19880640. Its totient is φ = 1554432.

The previous prime is 5972749. The next prime is 5972767. The reversal of 5972760 is 672795.

5972760 is a `hidden beast` number, since 597 + 2 + 7 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972767) 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, 16744 + ... + 17096.

It is an arithmetic number, because the mean of its divisors is an integer number (207090).

Almost surely, 2^5972760 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 5972760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940320).

5972760 is an abundant number, since it is smaller than the sum of its proper divisors (13907880).

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

5972760 is a wasteful number, since it uses less digits than its factorization.

5972760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

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

The square root of 5972760 is about 2443.9230757125. The cubic root of 5972760 is about 181.4366511611.

The spelling of 5972760 in words is "five million, nine hundred seventy-two thousand, seven hundred sixty".