52379200 has 84 divisors (see below), whose sum is σ = 135747760. Its totient is φ = 19837440.

The previous prime is 52379183. The next prime is 52379209. The reversal of 52379200 is 297325.

52379200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52379209) 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 11 ways as a sum of consecutive naturals, for example, 29539 + ... + 31261.

Almost surely, 2^52379200 is an apocalyptic number.

52379200 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 52379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67873880).

52379200 is an abundant number, since it is smaller than the sum of its proper divisors (83368560).

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

52379200 is a wasteful number, since it uses less digits than its factorization.

52379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 52379200 is about 7237.3475804330. The cubic root of 52379200 is about 374.1562064945.

The spelling of 52379200 in words is "fifty-two million, three hundred seventy-nine thousand, two hundred".