54102720 has 224 divisors, whose sum is σ = 200729088. Its totient is φ = 12091392.

The previous prime is 54102703. The next prime is 54102749. The reversal of 54102720 is 2720145.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×54102720² = 5854208622796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557712 + ... + 557808.

It is an arithmetic number, because the mean of its divisors is an integer number (896112).

Almost surely, 2^54102720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100364544).

54102720 is an abundant number, since it is smaller than the sum of its proper divisors (146626368).

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

54102720 is a wasteful number, since it uses less digits than its factorization.

54102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 54102720 is about 7355.4551184818. The cubic root of 54102720 is about 378.2158281454.

Adding to 54102720 its reverse (2720145), we get a palindrome (56822865).

The spelling of 54102720 in words is "fifty-four million, one hundred two thousand, seven hundred twenty".