52627200 has 108 divisors (see below), whose sum is σ = 173744088. Its totient is φ = 14028800.

The previous prime is 52627187. The next prime is 52627217. The reversal of 52627200 is 272625.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17830 + ... + 20570.

Almost surely, 2^52627200 is an apocalyptic number.

52627200 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 52627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86872044).

52627200 is an abundant number, since it is smaller than the sum of its proper divisors (121116888).

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

52627200 is a wasteful number, since it uses less digits than its factorization.

52627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 52627200 is about 7254.4606967024. The cubic root of 52627200 is about 374.7457832581.

Adding to 52627200 its reverse (272625), we get a palindrome (52899825).

The spelling of 52627200 in words is "fifty-two million, six hundred twenty-seven thousand, two hundred".