72060 has 24 divisors (see below), whose sum is σ = 201936. Its totient is φ = 19200.

The previous prime is 72053. The next prime is 72073. The reversal of 72060 is 6027.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

72060 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 7 ways as a sum of consecutive naturals, for example, 541 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (8414).

2⁷²⁰⁶⁰ is an apocalyptic number.

It is an amenable number.

72060 is an abundant number, since it is smaller than the sum of its proper divisors (129876).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100968).

72060 is a wasteful number, since it uses less digits than its factorization.

72060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72060 is about 268.4399374162. The cubic root of 72060 is about 41.6132292738.

Adding to 72060 its reverse (6027), we get a palindrome (78087).

It can be divided in two parts, 720 and 60, that added together give a triangular number (780 = T₃₉).

The spelling of 72060 in words is "seventy-two thousand, sixty".