79752 has 16 divisors (see below), whose sum is σ = 199440. Its totient is φ = 26576.

The previous prime is 79699. The next prime is 79757. The reversal of 79752 is 25797.

It is a happy number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 79752.

It is not an unprimeable number, because it can be changed into a prime (79757) by changing a digit.

79752 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 3 ways as a sum of consecutive naturals, for example, 1638 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (12465).

2⁷⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

79752 is an abundant number, since it is smaller than the sum of its proper divisors (119688).

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 (99720).

79752 is a wasteful number, since it uses less digits than its factorization.

79752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3328 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 79752 is about 282.4039659778. The cubic root of 79752 is about 43.0441227285.

The spelling of 79752 in words is "seventy-nine thousand, seven hundred fifty-two".