62016 has 56 divisors (see below), whose sum is σ = 182880. Its totient is φ = 18432.

The previous prime is 62011. The next prime is 62017. The reversal of 62016 is 61026.

62016 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 61986 and 62004.

It is not an unprimeable number, because it can be changed into a prime (62011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3255 + ... + 3273.

2⁶²⁰¹⁶ is an apocalyptic number.

62016 is the 158-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

62016 is an abundant number, since it is smaller than the sum of its proper divisors (120864).

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

62016 is a wasteful number, since it uses less digits than its factorization.

62016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 62016 is about 249.0301186604. The cubic root of 62016 is about 39.5823204419.

Subtracting from 62016 its sum of digits (15), we obtain a square (62001 = 249²).

Subtracting from 62016 its reverse (61026), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 620 and 16, that added together give a palindrome (636).

The spelling of 62016 in words is "sixty-two thousand, sixteen".