5419872 has 144 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 1658880.

The previous prime is 5419867. The next prime is 5419877. The reversal of 5419872 is 2789145.

It is an interprime number because it is at equal distance from previous prime (5419867) and next prime (5419877).

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).

Its product of digits (20160) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5419877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132172 + ... + 132212.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^5419872 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 5419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

5419872 is an abundant number, since it is smaller than the sum of its proper divisors (11916720).

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

5419872 is a wasteful number, since it uses less digits than its factorization.

5419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5419872 is about 2328.0618548484. The cubic root of 5419872 is about 175.6560085486.

The spelling of 5419872 in words is "five million, four hundred nineteen thousand, eight hundred seventy-two".