79772 has 36 divisors (see below), whose sum is σ = 181944. Its totient is φ = 30240.

The previous prime is 79769. The next prime is 79777. The reversal of 79772 is 27797.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (5054).

2⁷⁹⁷⁷² 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 79772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972).

79772 is an abundant number, since it is smaller than the sum of its proper divisors (102172).

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

79772 is a wasteful number, since it uses less digits than its factorization.

79772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its digits is 6174, while the sum is 32.

The square root of 79772 is about 282.4393740256. The cubic root of 79772 is about 43.0477205923.

It can be divided in two parts, 7 and 9772, that added together give a palindrome (9779).

The spelling of 79772 in words is "seventy-nine thousand, seven hundred seventy-two".