1350272 has 64 divisors (see below), whose sum is σ = 3378240. Its totient is φ = 522240.

The previous prime is 1350257. The next prime is 1350277. The reversal of 1350272 is 2720531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 1 + 3⁷ + 5³ + 0 + 2⁷ + 7⁷ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (1350277) by changing a digit.

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, 9788 + ... + 9924.

It is an arithmetic number, because the mean of its divisors is an integer number (52785).

2^1350272 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 1350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689120).

1350272 is an abundant number, since it is smaller than the sum of its proper divisors (2027968).

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

1350272 is a wasteful number, since it uses less digits than its factorization.

1350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 1350272 is about 1162.0120481303. The cubic root of 1350272 is about 110.5283671020.

The spelling of 1350272 in words is "one million, three hundred fifty thousand, two hundred seventy-two".