52272960 has 112 divisors (see below), whose sum is σ = 175784256. Its totient is φ = 13115392.

The previous prime is 52272953. The next prime is 52272967. The reversal of 52272960 is 6927225.

52272960 = 2406² + 2407² + ... + 2414².

It is a happy number.

52272960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52272953) and next prime (52272967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52272967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14719 + ... + 17921.

Almost surely, 2^52272960 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 52272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87892128).

52272960 is an abundant number, since it is smaller than the sum of its proper divisors (123511296).

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

52272960 is a wasteful number, since it uses less digits than its factorization.

52272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 52272960 is about 7230.0041493764. The cubic root of 52272960 is about 373.9030700031.

The spelling of 52272960 in words is "fifty-two million, two hundred seventy-two thousand, nine hundred sixty".