54075200 has 42 divisors (see below), whose sum is σ = 133062726. Its totient is φ = 21629440.

The previous prime is 54075193. The next prime is 54075257. The reversal of 54075200 is 257045.

It can be written as a sum of positive squares in 3 ways, for example, as 2119936 + 51955264 = 1456^2 + 7208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15299 + ... + 18498.

Almost surely, 2^54075200 is an apocalyptic number.

54075200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54075200 is an abundant number, since it is smaller than the sum of its proper divisors (78987526).

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

54075200 is a wasteful number, since it uses less digits than its factorization.

54075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33819 (or 33804 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 54075200 is about 7353.5841601222. The cubic root of 54075200 is about 378.1516892575.

The spelling of 54075200 in words is "fifty-four million, seventy-five thousand, two hundred".