5293872 has 60 divisors (see below), whose sum is σ = 15007720. Its totient is φ = 1741824.

The previous prime is 5293861. The next prime is 5293877. The reversal of 5293872 is 2783925.

It is a happy number.

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 5² + 2² + 9 + 3¹⁴ + 8⁶ + 7⁶ + 2¹⁷ .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5293877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13779 + ... + 14157.

Almost surely, 2^5293872 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 5293872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503860).

5293872 is an abundant number, since it is smaller than the sum of its proper divisors (9713848).

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

5293872 is a wasteful number, since it uses less digits than its factorization.

5293872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

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

The square root of 5293872 is about 2300.8415851597. The cubic root of 5293872 is about 174.2841176701.

The spelling of 5293872 in words is "five million, two hundred ninety-three thousand, eight hundred seventy-two".