71872128 has 96 divisors (see below), whose sum is σ = 209441700. Its totient is φ = 23654400.

The previous prime is 71872127. The next prime is 71872133. The reversal of 71872128 is 82127817.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 97344 = 8472^2 + 312^2 .

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

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 = 71872092 and 71872101.

It is not an unprimeable number, because it can be changed into a prime (71872127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102178 + ... + 102878.

Almost surely, 2^71872128 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 71872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104720850).

71872128 is an abundant number, since it is smaller than the sum of its proper divisors (137569572).

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

71872128 is a wasteful number, since it uses less digits than its factorization.

71872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 71872128 is about 8477.7430958953. The cubic root of 71872128 is about 415.7703367428.

The spelling of 71872128 in words is "seventy-one million, eight hundred seventy-two thousand, one hundred twenty-eight".