472842272 has 48 divisors (see below), whose sum is σ = 1067411520. Its totient is φ = 201977088.

The previous prime is 472842263. The next prime is 472842281. The reversal of 472842272 is 272248274.

It is an interprime number because it is at equal distance from previous prime (472842263) and next prime (472842281).

It is a nude number because it is divisible by every one of its digits.

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, 67679 + ... + 74337.

It is an arithmetic number, because the mean of its divisors is an integer number (22237740).

Almost surely, 2^472842272 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 472842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533705760).

472842272 is an abundant number, since it is smaller than the sum of its proper divisors (594569248).

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

472842272 is a wasteful number, since it uses less digits than its factorization.

472842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6985 counting only the distinct ones).

The product of its digits is 100352, while the sum is 38.

The square root of 472842272 is about 21744.9366979994. The cubic root of 472842272 is about 779.0621381747.

The spelling of 472842272 in words is "four hundred seventy-two million, eight hundred forty-two thousand, two hundred seventy-two".