62730 has 48 divisors (see below), whose sum is σ = 176904. Its totient is φ = 15360.

The previous prime is 62723. The next prime is 62731. The reversal of 62730 is 3726.

62730 = 110² + 111² + ... + 114².

62730 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 19881 = 207^2 + 141^2 .

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (62731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510 + ... + 1550.

2⁶²⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

62730 is an abundant number, since it is smaller than the sum of its proper divisors (114174).

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

62730 is a wasteful number, since it uses less digits than its factorization.

62730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 62730 is about 250.4595775769. The cubic root of 62730 is about 39.7336470054.

The spelling of 62730 in words is "sixty-two thousand, seven hundred thirty".