72776 has 16 divisors (see below), whose sum is σ = 149040. Its totient is φ = 33040.

The previous prime is 72767. The next prime is 72797. The reversal of 72776 is 67727.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2⁷²⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

72776 is an abundant number, since it is smaller than the sum of its proper divisors (76264).

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 (74520).

72776 is a wasteful number, since it uses less digits than its factorization.

72776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its digits is 4116, while the sum is 29.

The square root of 72776 is about 269.7702726395. The cubic root of 72776 is about 41.7506005866.

It can be divided in two parts, 72 and 776, that added together give a palindrome (848).

The spelling of 72776 in words is "seventy-two thousand, seven hundred seventy-six".