1294272 has 112 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 366336.

The previous prime is 1294253. The next prime is 1294273. The reversal of 1294272 is 2724921.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12043 + ... + 12149.

2^1294272 is an apocalyptic number.

1294272 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 1294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1294272 is an abundant number, since it is smaller than the sum of its proper divisors (3094848).

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

1294272 is a wasteful number, since it uses less digits than its factorization.

1294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1294272 is about 1137.6607578712. The cubic root of 1294272 is about 108.9787574686.

The spelling of 1294272 in words is "one million, two hundred ninety-four thousand, two hundred seventy-two".