79256952 has 48 divisors (see below), whose sum is σ = 216645000. Its totient is φ = 26174016.

The previous prime is 79256939. The next prime is 79256959. The reversal of 79256952 is 25965297.

It is a junction number, because it is equal to n+sod(n) for n = 79256898 and 79256907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79256959) 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, 2799 + ... + 12897.

Almost surely, 2^79256952 is an apocalyptic number.

79256952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79256952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108322500).

79256952 is an abundant number, since it is smaller than the sum of its proper divisors (137388048).

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

79256952 is a wasteful number, since it uses less digits than its factorization.

79256952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10213 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 79256952 is about 8902.6373620405. The cubic root of 79256952 is about 429.5487460050.

It can be divided in two parts, 79256 and 952, that added together give a palindrome (80208).

The spelling of 79256952 in words is "seventy-nine million, two hundred fifty-six thousand, nine hundred fifty-two".