1531872 has 72 divisors (see below), whose sum is σ = 4540536. Its totient is φ = 508032.

The previous prime is 1531861. The next prime is 1531897. The reversal of 1531872 is 2781351.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7678 + ... + 7874.

It is an arithmetic number, because the mean of its divisors is an integer number (63063).

2^1531872 is an apocalyptic number.

1531872 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 1531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270268).

1531872 is an abundant number, since it is smaller than the sum of its proper divisors (3008664).

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

1531872 is an equidigital number, since it uses as much as digits as its factorization.

1531872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1531872 is about 1237.6881675123. The cubic root of 1531872 is about 115.2765116725.

It can be divided in two parts, 153 and 1872, that added together give a square (2025 = 45²).

The spelling of 1531872 in words is "one million, five hundred thirty-one thousand, eight hundred seventy-two".