54258672 has 80 divisors (see below), whose sum is σ = 152802720. Its totient is φ = 16490496.

The previous prime is 54258641. The next prime is 54258691. The reversal of 54258672 is 27685245.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 54258672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55048 + ... + 56024.

It is an arithmetic number, because the mean of its divisors is an integer number (1910034).

Almost surely, 2^54258672 is an apocalyptic number.

54258672 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 54258672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76401360).

54258672 is an abundant number, since it is smaller than the sum of its proper divisors (98544048).

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

54258672 is a wasteful number, since it uses less digits than its factorization.

54258672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 54258672 is about 7366.0486015231. The cubic root of 54258672 is about 378.5788840248.

The spelling of 54258672 in words is "fifty-four million, two hundred fifty-eight thousand, six hundred seventy-two".