62712 has 48 divisors (see below), whose sum is σ = 185640. Its totient is φ = 19008.

The previous prime is 62701. The next prime is 62723. The reversal of 62712 is 21726.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (62701) and next prime (62723).

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

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903 + ... + 969.

2⁶²⁷¹² 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 62712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92820).

62712 is an abundant number, since it is smaller than the sum of its proper divisors (122928).

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

62712 is a wasteful number, since it uses less digits than its factorization.

62712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 62712 is about 250.4236410565. The cubic root of 62712 is about 39.7298461974.

It can be divided in two parts, 62 and 712, that multiplied together give a palindrome (44144).

The spelling of 62712 in words is "sixty-two thousand, seven hundred twelve".