52752700 has 288 divisors, whose sum is σ = 167989248. Its totient is φ = 13824000.

The previous prime is 52752697. The next prime is 52752709. The reversal of 52752700 is 725725.

52752700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52752709) 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 95 ways as a sum of consecutive naturals, for example, 1701685 + ... + 1701715.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^52752700 is an apocalyptic number.

52752700 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 52752700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

52752700 is an abundant number, since it is smaller than the sum of its proper divisors (115236548).

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

52752700 is a wasteful number, since it uses less digits than its factorization.

52752700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 52752700 is about 7263.1053964541. The cubic root of 52752700 is about 375.0434320066.

It can be divided in two parts, 527 and 52700, that multiplied together give a square (27772900 = 5270²).

The spelling of 52752700 in words is "fifty-two million, seven hundred fifty-two thousand, seven hundred".