54778672 has 80 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 23521536.

The previous prime is 54778667. The next prime is 54778673. The reversal of 54778672 is 27687745.

54778672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54778673) by changing a digit.

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, 327933 + ... + 328099.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^54778672 is an apocalyptic number.

54778672 is a gapful number since it is divisible by the number (52) 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 54778672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

54778672 is an abundant number, since it is smaller than the sum of its proper divisors (67713488).

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

54778672 is a wasteful number, since it uses less digits than its factorization.

54778672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 658560, while the sum is 46.

The square root of 54778672 is about 7401.2615140934. The cubic root of 54778672 is about 379.7844391464.

The spelling of 54778672 in words is "fifty-four million, seven hundred seventy-eight thousand, six hundred seventy-two".