5972764 has 48 divisors (see below), whose sum is σ = 12812800. Its totient is φ = 2379456.

The previous prime is 5972749. The next prime is 5972767. The reversal of 5972764 is 4672795.

It is a d-powerful number, because it can be written as 5 + 9² + 7⁷ + 2¹⁷ + 7⁷ + 6³ + 4¹¹ .

Its product of digits (105840) is a multiple of the sum of its prime divisors (240).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54742 + ... + 54850.

Almost surely, 2^5972764 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 5972764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406400).

5972764 is an abundant number, since it is smaller than the sum of its proper divisors (6840036).

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

5972764 is a wasteful number, since it uses less digits than its factorization.

5972764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 5972764 is about 2443.9238940687. The cubic root of 5972764 is about 181.4366916642.

The spelling of 5972764 in words is "five million, nine hundred seventy-two thousand, seven hundred sixty-four".