79258752 has 96 divisors (see below), whose sum is σ = 230564880. Its totient is φ = 26131968.

The previous prime is 79258733. The next prime is 79258787. The reversal of 79258752 is 25785297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 79258698 and 79258707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122943 + ... + 123585.

Almost surely, 2^79258752 is an apocalyptic number.

79258752 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 79258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115282440).

79258752 is an abundant number, since it is smaller than the sum of its proper divisors (151306128).

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

79258752 is a wasteful number, since it uses less digits than its factorization.

79258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 79258752 is about 8902.7384551047. The cubic root of 79258752 is about 429.5519977992.

The spelling of 79258752 in words is "seventy-nine million, two hundred fifty-eight thousand, seven hundred fifty-two".