1459872 has 72 divisors (see below), whose sum is σ = 4294836. Its totient is φ = 470016.

The previous prime is 1459853. The next prime is 1459873. The reversal of 1459872 is 2789541.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 104976 = 1164^2 + 324^2 .

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

It is a super-3 number, since 3×1459872³ = 9333952612079468544, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1459873) 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, 10588 + ... + 10724.

2^1459872 is an apocalyptic number.

1459872 is a gapful number since it is divisible by the number (12) 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 1459872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147418).

1459872 is an abundant number, since it is smaller than the sum of its proper divisors (2834964).

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

1459872 is a wasteful number, since it uses less digits than its factorization.

1459872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

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

The square root of 1459872 is about 1208.2516294216. The cubic root of 1459872 is about 113.4414040275.

The spelling of 1459872 in words is "one million, four hundred fifty-nine thousand, eight hundred seventy-two".