79552 has 28 divisors (see below), whose sum is σ = 173736. Its totient is φ = 35840.

The previous prime is 79549. The next prime is 79559. The reversal of 79552 is 25597.

Its product of digits (3150) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 79552.

It is not an unprimeable number, because it can be changed into a prime (79559) by changing a digit.

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, 648 + ... + 760.

2⁷⁹⁵⁵² 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 79552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86868).

79552 is an abundant number, since it is smaller than the sum of its proper divisors (94184).

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

79552 is a wasteful number, since it uses less digits than its factorization.

79552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 79552 is about 282.0496410209. The cubic root of 79552 is about 43.0081109632.

Subtracting from 79552 its sum of digits (28), we obtain a square (79524 = 282²).

It can be divided in two parts, 7 and 9552, that added together give a palindrome (9559).

The spelling of 79552 in words is "seventy-nine thousand, five hundred fifty-two".