72054 has 12 divisors (see below), whose sum is σ = 156156. Its totient is φ = 24012.

The previous prime is 72053. The next prime is 72073. The reversal of 72054 is 45027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4003 = 72054 / (7 + 2 + 0 + 5 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1984 + ... + 2019.

It is an arithmetic number, because the mean of its divisors is an integer number (13013).

2⁷²⁰⁵⁴ is an apocalyptic number.

72054 is an abundant number, since it is smaller than the sum of its proper divisors (84102).

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

72054 is a wasteful number, since it uses less digits than its factorization.

72054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4008 counting only the distinct ones).

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

The square root of 72054 is about 268.4287614992. The cubic root of 72054 is about 41.6120742811.

The spelling of 72054 in words is "seventy-two thousand, fifty-four".