54067200 has 204 divisors, whose sum is σ = 195033648. Its totient is φ = 13107200.

The previous prime is 54067163. The next prime is 54067201. The reversal of 54067200 is 276045.

It is a happy number.

It is a super-3 number, since 3×54067200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54067201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4915195 + ... + 4915205.

Almost surely, 2^54067200 is an apocalyptic number.

54067200 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 54067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97516824).

54067200 is an abundant number, since it is smaller than the sum of its proper divisors (140966448).

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

54067200 is an equidigital number, since it uses as much as digits as its factorization.

54067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 54067200 is about 7353.0401875687. The cubic root of 54067200 is about 378.1330401496.

The spelling of 54067200 in words is "fifty-four million, sixty-seven thousand, two hundred".