71760168 has 160 divisors (see below), whose sum is σ = 214358760. Its totient is φ = 22394880.

The previous prime is 71760137. The next prime is 71760173. The reversal of 71760168 is 86106717.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60186564 + 11573604 = 7758^2 + 3402^2 .

It is a super-2 number, since 2×71760168² = 10299043422776448, which contains 22 as substring.

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

It is a congruent number.

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, 982980 + ... + 983052.

Almost surely, 2^71760168 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 71760168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107179380).

71760168 is an abundant number, since it is smaller than the sum of its proper divisors (142598592).

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

71760168 is a wasteful number, since it uses less digits than its factorization.

71760168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

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

The square root of 71760168 is about 8471.1373498486. The cubic root of 71760168 is about 415.5543334960.

The spelling of 71760168 in words is "seventy-one million, seven hundred sixty thousand, one hundred sixty-eight".