62720 has 54 divisors (see below), whose sum is σ = 174762. Its totient is φ = 21504.

The previous prime is 62701. The next prime is 62723. The reversal of 62720 is 2726.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 12544 = 224^2 + 112^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62723) 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, 8957 + ... + 8963.

2⁶²⁷²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381).

62720 is an abundant number, since it is smaller than the sum of its proper divisors (112042).

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

62720 is an equidigital number, since it uses as much as digits as its factorization.

62720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 62720 is about 250.4396134800. The cubic root of 62720 is about 39.7315355352.

The spelling of 62720 in words is "sixty-two thousand, seven hundred twenty".