1315872 has 48 divisors (see below), whose sum is σ = 3840480. Its totient is φ = 438336.

The previous prime is 1315871. The next prime is 1315889. The reversal of 1315872 is 2785131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1315871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

2^1315872 is an apocalyptic number.

1315872 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 1315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240).

1315872 is an abundant number, since it is smaller than the sum of its proper divisors (2524608).

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

1315872 is a wasteful number, since it uses less digits than its factorization.

1315872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1528 counting only the distinct ones).

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

The square root of 1315872 is about 1147.1146411759. The cubic root of 1315872 is about 109.5816617337.

It can be divided in two parts, 13158 and 72, that multiplied together give a triangular number (947376 = T₁₃₇₆).

The spelling of 1315872 in words is "one million, three hundred fifteen thousand, eight hundred seventy-two".