79265952 has 120 divisors (see below), whose sum is σ = 237929076. Its totient is φ = 25878528.

The previous prime is 79265947. The next prime is 79265971. The reversal of 79265952 is 25956297.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 15968016 = 7956^2 + 3996^2 .

It is a super-2 number, since 2×79265952² = 12566182292932608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79265898 and 79265907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137088 + ... + 137664.

Almost surely, 2^79265952 is an apocalyptic number.

79265952 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 79265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118964538).

79265952 is an abundant number, since it is smaller than the sum of its proper divisors (158663124).

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

79265952 is a wasteful number, since it uses less digits than its factorization.

79265952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

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

The square root of 79265952 is about 8903.1428158825. The cubic root of 79265952 is about 429.5650044837.

The spelling of 79265952 in words is "seventy-nine million, two hundred sixty-five thousand, nine hundred fifty-two".