71148096 has 84 divisors (see below), whose sum is σ = 205549500. Its totient is φ = 23528448.

The previous prime is 71148059. The next prime is 71148097. The reversal of 71148096 is 69084117.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 48108096 = 4800^2 + 6936^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 71148096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71148097) 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, 85410 + ... + 86238.

Almost surely, 2^71148096 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 71148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102774750).

71148096 is an abundant number, since it is smaller than the sum of its proper divisors (134401404).

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

71148096 is a wasteful number, since it uses less digits than its factorization.

71148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71148096 is about 8434.9330762016. The cubic root of 71148096 is about 414.3694804176.

The spelling of 71148096 in words is "seventy-one million, one hundred forty-eight thousand, ninety-six".