5617872 has 60 divisors (see below), whose sum is σ = 16937284. Its totient is φ = 1728000.

The previous prime is 5617867. The next prime is 5617877. The reversal of 5617872 is 2787165.

It is an interprime number because it is at equal distance from previous prime (5617867) and next prime (5617877).

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 3779136 = 1356^2 + 1944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5617877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372 + ... + 3372.

Almost surely, 2^5617872 is an apocalyptic number.

5617872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468642).

5617872 is an abundant number, since it is smaller than the sum of its proper divisors (11319412).

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

5617872 is a wasteful number, since it uses less digits than its factorization.

5617872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3019 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 5617872 is about 2370.2050544204. The cubic root of 5617872 is about 177.7695118842.

The spelling of 5617872 in words is "five million, six hundred seventeen thousand, eight hundred seventy-two".