5832972 has 72 divisors (see below), whose sum is σ = 16235856. Its totient is φ = 1824768.

The previous prime is 5832941. The next prime is 5832977. The reversal of 5832972 is 2792385.

It is a happy number.

5832972 is a `hidden beast` number, since 583 + 2 + 9 + 72 = 666.

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

It is a d-powerful number, because it can be written as 5⁴ + 8 + 3¹⁴ + 2⁴ + 9³ + 7² + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (5832977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16348 + ... + 16700.

It is an arithmetic number, because the mean of its divisors is an integer number (225498).

Almost surely, 2^5832972 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 5832972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117928).

5832972 is an abundant number, since it is smaller than the sum of its proper divisors (10402884).

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

5832972 is a wasteful number, since it uses less digits than its factorization.

5832972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5832972 is about 2415.1546534332. The cubic root of 5832972 is about 180.0099994445.

The spelling of 5832972 in words is "five million, eight hundred thirty-two thousand, nine hundred seventy-two".