60720 has 80 divisors (see below), whose sum is σ = 214272. Its totient is φ = 14080.

The previous prime is 60719. The next prime is 60727. The reversal of 60720 is 2706.

60720 = T₇₉ + T₈₀ + ... + T₉₄.

60720 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 (80).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 60720.

It is not an unprimeable number, because it can be changed into a prime (60727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2629 + ... + 2651.

2⁶⁰⁷²⁰ is an apocalyptic number.

60720 is a gapful number since it is divisible by the number (60) 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 60720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136).

60720 is an abundant number, since it is smaller than the sum of its proper divisors (153552).

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

60720 is a wasteful number, since it uses less digits than its factorization.

60720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

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

The square root of 60720 is about 246.4142853002. The cubic root of 60720 is about 39.3046488813.

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

The spelling of 60720 in words is "sixty thousand, seven hundred twenty".