332422272 has 384 divisors, whose sum is σ = 1237219200. Its totient is φ = 87091200.

The previous prime is 332422249. The next prime is 332422297. The reversal of 332422272 is 272224233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×332422272² = 221009133843283968, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201397 + ... + 2201547.

It is an arithmetic number, because the mean of its divisors is an integer number (3221925).

Almost surely, 2^332422272 is an apocalyptic number.

332422272 is a gapful number since it is divisible by the number (32) 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 332422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618609600).

332422272 is an abundant number, since it is smaller than the sum of its proper divisors (904796928).

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

332422272 is a wasteful number, since it uses less digits than its factorization.

332422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 332422272 is about 18232.4510694531. The cubic root of 332422272 is about 692.7290033155.

The spelling of 332422272 in words is "three hundred thirty-two million, four hundred twenty-two thousand, two hundred seventy-two".