54210072 has 96 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 14978880.

The previous prime is 54210071. The next prime is 54210073. The reversal of 54210072 is 27001245.

54210072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54210071) and next prime (54210073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54210071) 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 23 ways as a sum of consecutive naturals, for example, 35713 + ... + 37199.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^54210072 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 54210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

54210072 is an abundant number, since it is smaller than the sum of its proper divisors (108636648).

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

54210072 is a wasteful number, since it uses less digits than its factorization.

54210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1530 counting only the distinct ones).

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

The square root of 54210072 is about 7362.7489431597. The cubic root of 54210072 is about 378.4658180442.

The spelling of 54210072 in words is "fifty-four million, two hundred ten thousand, seventy-two".