71115920 has 40 divisors (see below), whose sum is σ = 165807096. Its totient is φ = 28366848.

The previous prime is 71115911. The next prime is 71115929. The reversal of 71115920 is 2951117.

It is an interprime number because it is at equal distance from previous prime (71115911) and next prime (71115929).

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 70291456 = 908^2 + 8384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 71115920.

It is not an unprimeable number, because it can be changed into a prime (71115929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33614 + ... + 35666.

Almost surely, 2^71115920 is an apocalyptic number.

It is an amenable number.

71115920 is an abundant number, since it is smaller than the sum of its proper divisors (94691176).

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

71115920 is a wasteful number, since it uses less digits than its factorization.

71115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 71115920 is about 8433.0255543310. The cubic root of 71115920 is about 414.3070062099.

It can be divided in two parts, 7111 and 5920, that added together give a palindrome (13031).

The spelling of 71115920 in words is "seventy-one million, one hundred fifteen thousand, nine hundred twenty".