71661088 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 32148480.

The previous prime is 71661049. The next prime is 71661089. The reversal of 71661088 is 88016617.

It is not an unprimeable number, because it can be changed into a prime (71661089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352070 + ... + 1352122.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^71661088 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 71661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

71661088 is an abundant number, since it is smaller than the sum of its proper divisors (85103072).

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

71661088 is a wasteful number, since it uses less digits than its factorization.

71661088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 71661088 is about 8465.2872367097. The cubic root of 71661088 is about 415.3629920297.

The spelling of 71661088 in words is "seventy-one million, six hundred sixty-one thousand, eighty-eight".