53792200 has 144 divisors (see below), whose sum is σ = 159030000. Its totient is φ = 16732800.

The previous prime is 53792177. The next prime is 53792231. The reversal of 53792200 is 229735.

53792200 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 an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 107551 + ... + 108049.

It is an arithmetic number, because the mean of its divisors is an integer number (1104375).

Almost surely, 2^53792200 is an apocalyptic number.

53792200 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 53792200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79515000).

53792200 is an abundant number, since it is smaller than the sum of its proper divisors (105237800).

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

53792200 is a wasteful number, since it uses less digits than its factorization.

53792200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

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

The square root of 53792200 is about 7334.3166007475. The cubic root of 53792200 is about 377.4908554427.

It can be divided in two parts, 53792 and 200, that multiplied together give a square (10758400 = 3280²).

The spelling of 53792200 in words is "fifty-three million, seven hundred ninety-two thousand, two hundred".