60072 has 16 divisors (see below), whose sum is σ = 150240. Its totient is φ = 20016.

The previous prime is 60041. The next prime is 60077. The reversal of 60072 is 27006.

60072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (60077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1228 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (9390).

2⁶⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

60072 is an abundant number, since it is smaller than the sum of its proper divisors (90168).

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 (75120).

60072 is a wasteful number, since it uses less digits than its factorization.

60072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2508 counting only the distinct ones).

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

The square root of 60072 is about 245.0958995985. The cubic root of 60072 is about 39.1643296226.

Adding to 60072 its reverse (27006), we get a palindrome (87078).

The spelling of 60072 in words is "sixty thousand, seventy-two".