61712 has 40 divisors (see below), whose sum is σ = 148800. Its totient is φ = 24192.

The previous prime is 61703. The next prime is 61717. The reversal of 61712 is 21716.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61717) 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, 2114 + ... + 2142.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁶¹⁷¹² is an apocalyptic number.

61712 is the 203-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

61712 is an abundant number, since it is smaller than the sum of its proper divisors (87088).

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

61712 is a wasteful number, since it uses less digits than its factorization.

61712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 61712 is about 248.4190008836. The cubic root of 61712 is about 39.5175374776.

The spelling of 61712 in words is "sixty-one thousand, seven hundred twelve".