54072 has 24 divisors (see below), whose sum is σ = 146640. Its totient is φ = 18000.

The previous prime is 54059. The next prime is 54083. The reversal of 54072 is 27045.

It is a happy number.

54072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

54072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 304 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (6110).

2⁵⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

54072 is an abundant number, since it is smaller than the sum of its proper divisors (92568).

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

54072 is a wasteful number, since it uses less digits than its factorization.

54072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 54072 is about 232.5338685009. The cubic root of 54072 is about 37.8144229835.

The spelling of 54072 in words is "fifty-four thousand, seventy-two".