71661600 has 216 divisors, whose sum is σ = 260491140. Its totient is φ = 18524160.

The previous prime is 71661599. The next prime is 71661661. The reversal of 71661600 is 616617.

It can be written as a sum of positive squares in 6 ways, for example, as 23386896 + 48274704 = 4836^2 + 6948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266266 + ... + 266534.

Almost surely, 2^71661600 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 71661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130245570).

71661600 is an abundant number, since it is smaller than the sum of its proper divisors (188829540).

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

71661600 is a wasteful number, since it uses less digits than its factorization.

71661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

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

The square root of 71661600 is about 8465.3174778032. The cubic root of 71661600 is about 415.3639812479.

The spelling of 71661600 in words is "seventy-one million, six hundred sixty-one thousand, six hundred".