53729200 has 120 divisors (see below), whose sum is σ = 152529920. Its totient is φ = 17798400.

The previous prime is 53729183. The next prime is 53729213. The reversal of 53729200 is 292735.

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

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, 86491 + ... + 87109.

Almost surely, 2^53729200 is an apocalyptic number.

53729200 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 53729200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76264960).

53729200 is an abundant number, since it is smaller than the sum of its proper divisors (98800720).

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

53729200 is a wasteful number, since it uses less digits than its factorization.

53729200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

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

The square root of 53729200 is about 7330.0204638186. The cubic root of 53729200 is about 377.3434287762.

The spelling of 53729200 in words is "fifty-three million, seven hundred twenty-nine thousand, two hundred".