80872128 has 112 divisors (see below), whose sum is σ = 251825760. Its totient is φ = 25362432.

The previous prime is 80872093. The next prime is 80872133. The reversal of 80872128 is 82127808.

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

It is a junction number, because it is equal to n+sod(n) for n = 80872092 and 80872101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28000 + ... + 30752.

Almost surely, 2^80872128 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 80872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125912880).

80872128 is an abundant number, since it is smaller than the sum of its proper divisors (170953632).

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

80872128 is a wasteful number, since it uses less digits than its factorization.

80872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 80872128 is about 8992.8931940728. The cubic root of 80872128 is about 432.4470680429.

The spelling of 80872128 in words is "eighty million, eight hundred seventy-two thousand, one hundred twenty-eight".