71660160 has 512 divisors, whose sum is σ = 308448000. Its totient is φ = 15482880.

The previous prime is 71660137. The next prime is 71660227. The reversal of 71660160 is 6106617.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471026 + ... + 2471054.

Almost surely, 2^71660160 is an apocalyptic number.

71660160 is the 6912-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

71660160 is an abundant number, since it is smaller than the sum of its proper divisors (236787840).

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

71660160 is a wasteful number, since it uses less digits than its factorization.

71660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71660160 is about 8465.2324244524. The cubic root of 71660160 is about 415.3611990599.

Adding to 71660160 its reverse (6106617), we get a palindrome (77766777).

The spelling of 71660160 in words is "seventy-one million, six hundred sixty thousand, one hundred sixty".