52427200 has 168 divisors, whose sum is σ = 153196544. Its totient is φ = 17280000.

The previous prime is 52427183. The next prime is 52427257. The reversal of 52427200 is 272425.

It is a super-2 number, since 2×52427200² = 5497222599680000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347125 + ... + 347275.

Almost surely, 2^52427200 is an apocalyptic number.

52427200 is a gapful number since it is divisible by the number (50) 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 52427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76598272).

52427200 is an abundant number, since it is smaller than the sum of its proper divisors (100769344).

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

52427200 is a wasteful number, since it uses less digits than its factorization.

52427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 52427200 is about 7240.6629530727. The cubic root of 52427200 is about 374.2704631378.

Adding to 52427200 its reverse (272425), we get a palindrome (52699625).

The spelling of 52427200 in words is "fifty-two million, four hundred twenty-seven thousand, two hundred".