79590672 has 120 divisors (see below), whose sum is σ = 265709184. Its totient is φ = 21745152.

The previous prime is 79590661. The next prime is 79590689. The reversal of 79590672 is 27609597.

It is a super-3 number, since 3×79590672³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21468 + ... + 24900.

Almost surely, 2^79590672 is an apocalyptic number.

79590672 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 79590672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132854592).

79590672 is an abundant number, since it is smaller than the sum of its proper divisors (186118512).

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

79590672 is a wasteful number, since it uses less digits than its factorization.

79590672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 79590672 is about 8921.3604343732. The cubic root of 79590672 is about 430.1507890128.

The spelling of 79590672 in words is "seventy-nine million, five hundred ninety thousand, six hundred seventy-two".