54352672 has 96 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 22425600.

The previous prime is 54352651. The next prime is 54352681. The reversal of 54352672 is 27625345.

54352672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185358 + ... + 185650.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 2^54352672 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 54352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

54352672 is an abundant number, since it is smaller than the sum of its proper divisors (73671392).

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

54352672 is a wasteful number, since it uses less digits than its factorization.

54352672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its digits is 50400, while the sum is 34.

The square root of 54352672 is about 7372.4264662321. The cubic root of 54352672 is about 378.7973798773.

The spelling of 54352672 in words is "fifty-four million, three hundred fifty-two thousand, six hundred seventy-two".