71166720 has 144 divisors (see below), whose sum is σ = 233114112. Its totient is φ = 18493440.

The previous prime is 71166707. The next prime is 71166737. The reversal of 71166720 is 2766117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164905 + ... + 165335.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 2^71166720 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 71166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116557056).

71166720 is an abundant number, since it is smaller than the sum of its proper divisors (161947392).

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

71166720 is a wasteful number, since it uses less digits than its factorization.

71166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 71166720 is about 8436.0369842717. The cubic root of 71166720 is about 414.4056329144.

The spelling of 71166720 in words is "seventy-one million, one hundred sixty-six thousand, seven hundred twenty".