1353872 has 40 divisors (see below), whose sum is σ = 2958144. Its totient is φ = 595584.

The previous prime is 1353857. The next prime is 1353881. The reversal of 1353872 is 2783531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4643 + ... + 4925.

2^1353872 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 1353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479072).

1353872 is an abundant number, since it is smaller than the sum of its proper divisors (1604272).

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

1353872 is a wasteful number, since it uses less digits than its factorization.

1353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 1353872 is about 1163.5600543161. The cubic root of 1353872 is about 110.6265075816.

It can be divided in two parts, 13 and 53872, that multiplied together give a triangular number (700336 = T₁₁₈₃).

The spelling of 1353872 in words is "one million, three hundred fifty-three thousand, eight hundred seventy-two".