4294272 has 64 divisors (see below), whose sum is σ = 11676960. Its totient is φ = 1397760.

The previous prime is 4294259. The next prime is 4294313. The reversal of 4294272 is 2724924.

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 4⁴ + 2¹⁴ + 9³ + 4⁴ + 2¹⁶ + 7⁵ + 2²² .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20247 + ... + 20457.

Almost surely, 2^4294272 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 4294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838480).

4294272 is an abundant number, since it is smaller than the sum of its proper divisors (7382688).

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

4294272 is a wasteful number, since it uses less digits than its factorization.

4294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4294272 is about 2072.2625316306. The cubic root of 4294272 is about 162.5410957205.

The spelling of 4294272 in words is "four million, two hundred ninety-four thousand, two hundred seventy-two".