5305972 has 48 divisors (see below), whose sum is σ = 11467008. Its totient is φ = 2096640.

The previous prime is 5305961. The next prime is 5305973. The reversal of 5305972 is 2795035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33718 + ... + 33874.

It is an arithmetic number, because the mean of its divisors is an integer number (238896).

Almost surely, 2^5305972 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 5305972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504).

5305972 is an abundant number, since it is smaller than the sum of its proper divisors (6161036).

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

5305972 is a wasteful number, since it uses less digits than its factorization.

5305972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 5305972 is about 2303.4695569944. The cubic root of 5305972 is about 174.4168014703.

The spelling of 5305972 in words is "five million, three hundred five thousand, nine hundred seventy-two".