79144128 has 168 divisors, whose sum is σ = 269231872. Its totient is φ = 22581504.

The previous prime is 79144111. The next prime is 79144141. The reversal of 79144128 is 82144197.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 79144092 and 79144101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108501 + ... + 109227.

Almost surely, 2^79144128 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 79144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134615936).

79144128 is an abundant number, since it is smaller than the sum of its proper divisors (190087744).

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

79144128 is an equidigital number, since it uses as much as digits as its factorization.

79144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 739 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 79144128 is about 8896.2985561412. The cubic root of 79144128 is about 429.3448252092.

The spelling of 79144128 in words is "seventy-nine million, one hundred forty-four thousand, one hundred twenty-eight".