62724 has 12 divisors (see below), whose sum is σ = 146384. Its totient is φ = 20904.

The previous prime is 62723. The next prime is 62731. The reversal of 62724 is 42726.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 62724.

It is not an unprimeable number, because it can be changed into a prime (62723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2602 + ... + 2625.

2⁶²⁷²⁴ is an apocalyptic number.

It is an amenable number.

62724 is an abundant number, since it is smaller than the sum of its proper divisors (83660).

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 (73192).

62724 is a wasteful number, since it uses less digits than its factorization.

62724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5232 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 62724 is about 250.4475993097. The cubic root of 62724 is about 39.7323801502.

The spelling of 62724 in words is "sixty-two thousand, seven hundred twenty-four".