54360072 has 128 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 16656192.

The previous prime is 54360049. The next prime is 54360077. The reversal of 54360072 is 27006345.

It is a happy number.

54360072 is a `hidden beast` number, since 54 + 3 + 600 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54360077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227329 + ... + 227567.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 2^54360072 is an apocalyptic number.

54360072 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 54360072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

54360072 is an abundant number, since it is smaller than the sum of its proper divisors (110951928).

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

54360072 is a wasteful number, since it uses less digits than its factorization.

54360072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54360072 is about 7372.9283191958. The cubic root of 54360072 is about 378.8145699148.

The spelling of 54360072 in words is "fifty-four million, three hundred sixty thousand, seventy-two".