540072 has 48 divisors (see below), whose sum is σ = 1577940. Its totient is φ = 165888.

The previous prime is 540061. The next prime is 540079. The reversal of 540072 is 270045.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 12996 = 726^2 + 114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (540079) by changing a digit.

540072 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 11 ways as a sum of consecutive naturals, for example, 648 + ... + 1224.

2⁵⁴⁰⁰⁷² is an apocalyptic number.

540072 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 540072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788970).

540072 is an abundant number, since it is smaller than the sum of its proper divisors (1037868).

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

540072 is a wasteful number, since it uses less digits than its factorization.

540072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

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

The square root of 540072 is about 734.8959109969. The cubic root of 540072 is about 81.4361475605.

The spelling of 540072 in words is "five hundred forty thousand, seventy-two".