5288472 has 72 divisors (see below), whose sum is σ = 16672500. Its totient is φ = 1509984.

The previous prime is 5288471. The next prime is 5288477. The reversal of 5288472 is 2748825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 + 2¹³ + 8 + 8⁶ + 4⁴ + 7⁷ + 2²² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2779 + ... + 4277.

Almost surely, 2^5288472 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 5288472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336250).

5288472 is an abundant number, since it is smaller than the sum of its proper divisors (11384028).

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

5288472 is a wasteful number, since it uses less digits than its factorization.

5288472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1511 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5288472 is about 2299.6678020966. The cubic root of 5288472 is about 174.2248381599.

The spelling of 5288472 in words is "five million, two hundred eighty-eight thousand, four hundred seventy-two".