71515080 has 384 divisors, whose sum is σ = 298771200. Its totient is φ = 14432256.

The previous prime is 71515079. The next prime is 71515099. The reversal of 71515080 is 8051517.

71515080 is a `hidden beast` number, since 7 + 151 + 508 + 0 = 666.

It is a super-2 number, since 2×71515080² = 10228813334812800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1212091 + ... + 1212149.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^71515080 is an apocalyptic number.

71515080 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 71515080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

71515080 is an abundant number, since it is smaller than the sum of its proper divisors (227256120).

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

71515080 is a wasteful number, since it uses less digits than its factorization.

71515080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 71515080 is about 8456.6589147251. The cubic root of 71515080 is about 415.0807023583.

Adding to 71515080 its reverse (8051517), we get a palindrome (79566597).

The spelling of 71515080 in words is "seventy-one million, five hundred fifteen thousand, eighty".