71772 has 12 divisors (see below), whose sum is σ = 167496. Its totient is φ = 23920.

The previous prime is 71761. The next prime is 71777. The reversal of 71772 is 27717.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71777) by changing a digit.

71772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2979 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (13958).

2⁷¹⁷⁷² is an apocalyptic number.

It is an amenable number.

71772 is an abundant number, since it is smaller than the sum of its proper divisors (95724).

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 (83748).

71772 is a wasteful number, since it uses less digits than its factorization.

71772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5986 counting only the distinct ones).

The product of its digits is 686, while the sum is 24.

The square root of 71772 is about 267.9029675088. The cubic root of 71772 is about 41.5577171461.

The spelling of 71772 in words is "seventy-one thousand, seven hundred seventy-two", and thus it is an iban number.