61722 has 24 divisors (see below), whose sum is σ = 139776. Its totient is φ = 20412.

The previous prime is 61717. The next prime is 61723. The reversal of 61722 is 22716.

It is a happy number.

61722 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 is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 61695 and 61704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61722.

It is not an unprimeable number, because it can be changed into a prime (61723) by changing a digit.

61722 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2⁶¹⁷²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

61722 is an abundant number, since it is smaller than the sum of its proper divisors (78054).

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

61722 is a wasteful number, since it uses less digits than its factorization.

61722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

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

The square root of 61722 is about 248.4391273532. The cubic root of 61722 is about 39.5196718763.

It can be divided in two parts, 6 and 1722, that added together give a cube (1728 = 12³).

The spelling of 61722 in words is "sixty-one thousand, seven hundred twenty-two".