54007200 has 216 divisors, whose sum is σ = 205447788. Its totient is φ = 13271040.

The previous prime is 54007169. The next prime is 54007201. The reversal of 54007200 is 270045.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27751824 + 26255376 = 5268^2 + 5124^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (54007201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93312 + ... + 93888.

Almost surely, 2^54007200 is an apocalyptic number.

54007200 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 54007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102723894).

54007200 is an abundant number, since it is smaller than the sum of its proper divisors (151440588).

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

54007200 is a wasteful number, since it uses less digits than its factorization.

54007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 54007200 is about 7348.9591099692. The cubic root of 54007200 is about 377.9931131692.

Adding to 54007200 its reverse (270045), we get a palindrome (54277245).

The spelling of 54007200 in words is "fifty-four million, seven thousand, two hundred".