71876160 has 280 divisors, whose sum is σ = 265541760. Its totient is φ = 18441216.

The previous prime is 71876159. The next prime is 71876209. The reversal of 71876160 is 6167817.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218211 + ... + 1218269.

Almost surely, 2^71876160 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 71876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

71876160 is an abundant number, since it is smaller than the sum of its proper divisors (193665600).

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

71876160 is a wasteful number, since it uses less digits than its factorization.

71876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71876160 is about 8477.9808916982. The cubic root of 71876160 is about 415.7781114518.

The spelling of 71876160 in words is "seventy-one million, eight hundred seventy-six thousand, one hundred sixty".