71102720 has 72 divisors (see below), whose sum is σ = 183457176. Its totient is φ = 26247168.

The previous prime is 71102711. The next prime is 71102741. The reversal of 71102720 is 2720117.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 71098624 = 64^2 + 8432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 71102692 and 71102701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14504 + ... + 18776.

Almost surely, 2^71102720 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 71102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728588).

71102720 is an abundant number, since it is smaller than the sum of its proper divisors (112354456).

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

71102720 is a wasteful number, since it uses less digits than its factorization.

71102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 71102720 is about 8432.2428807524. The cubic root of 71102720 is about 414.2813711113.

Adding to 71102720 its reverse (2720117), we get a palindrome (73822837).

The spelling of 71102720 in words is "seventy-one million, one hundred two thousand, seven hundred twenty".