71002120 has 64 divisors (see below), whose sum is σ = 183513600. Its totient is φ = 24218880.

The previous prime is 71002117. The next prime is 71002147. The reversal of 71002120 is 2120017.

It is a self number, because there is not a number n which added to its sum of digits gives 71002120.

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, 66390 + ... + 67450.

It is an arithmetic number, because the mean of its divisors is an integer number (2867400).

Almost surely, 2^71002120 is an apocalyptic number.

71002120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91756800).

71002120 is an abundant number, since it is smaller than the sum of its proper divisors (112511480).

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

71002120 is a wasteful number, since it uses less digits than its factorization.

71002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 71002120 is about 8426.2755710931. The cubic root of 71002120 is about 414.0858962786.

Adding to 71002120 its reverse (2120017), we get a palindrome (73122137).

The spelling of 71002120 in words is "seventy-one million, two thousand, one hundred twenty".