71764 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 27840.

The previous prime is 71761. The next prime is 71777. The reversal of 71764 is 46717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71761) 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, 192 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁷¹⁷⁶⁴ 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 71764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

71764 is an abundant number, since it is smaller than the sum of its proper divisors (85484).

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

71764 is a wasteful number, since it uses less digits than its factorization.

71764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 71764 is about 267.8880363137. Note that the first 3 decimals coincide. The cubic root of 71764 is about 41.5561730245.

It can be divided in two parts, 7 and 1764, that added together give a palindrome (1771).

The spelling of 71764 in words is "seventy-one thousand, seven hundred sixty-four".