54321072 has 80 divisors (see below), whose sum is σ = 152156928. Its totient is φ = 16600320.

The previous prime is 54321041. The next prime is 54321073. The reversal of 54321072 is 27012345.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54321073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163947 + ... + 164277.

Almost surely, 2^54321072 is an apocalyptic number.

54321072 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 54321072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078464).

54321072 is an abundant number, since it is smaller than the sum of its proper divisors (97835856).

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

54321072 is a wasteful number, since it uses less digits than its factorization.

54321072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

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

The square root of 54321072 is about 7370.2830339140. The cubic root of 54321072 is about 378.7239562090.

The spelling of 54321072 in words is "fifty-four million, three hundred twenty-one thousand, seventy-two".