1503872 has 32 divisors (see below), whose sum is σ = 3100800. Its totient is φ = 725760.

The previous prime is 1503863. The next prime is 1503881. The reversal of 1503872 is 2783051.

It is an interprime number because it is at equal distance from previous prime (1503863) and next prime (1503881).

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3779 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (96900).

2^1503872 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 1503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550400).

1503872 is an abundant number, since it is smaller than the sum of its proper divisors (1596928).

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

1503872 is an equidigital number, since it uses as much as digits as its factorization.

1503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1503872 is about 1226.3245899842. The cubic root of 1503872 is about 114.5698359271.

The spelling of 1503872 in words is "one million, five hundred three thousand, eight hundred seventy-two".