5398272 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1612800.

The previous prime is 5398271. The next prime is 5398297. The reversal of 5398272 is 2728935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 5⁹ + 3³ + 9 + 8⁷ + 2⁷ + 7⁷ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398271) 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, 75997 + ... + 76067.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^5398272 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 5398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5398272 is an abundant number, since it is smaller than the sum of its proper divisors (12261888).

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

5398272 is a wasteful number, since it uses less digits than its factorization.

5398272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

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

The square root of 5398272 is about 2323.4181715739. The cubic root of 5398272 is about 175.4223485828.

The spelling of 5398272 in words is "five million, three hundred ninety-eight thousand, two hundred seventy-two".