71604000 has 480 divisors, whose sum is σ = 299675376. Its totient is φ = 16588800.

The previous prime is 71603977. The next prime is 71604011. The reversal of 71604000 is 40617.

It can be written as a sum of positive squares in 8 ways, for example, as 1245456 + 70358544 = 1116^2 + 8388^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4211992 + ... + 4212008.

Almost surely, 2^71604000 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 71604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149837688).

71604000 is an abundant number, since it is smaller than the sum of its proper divisors (228071376).

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

71604000 is a wasteful number, since it uses less digits than its factorization.

71604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71604000 is about 8461.9146769511. The cubic root of 71604000 is about 415.2526646418.

Adding to 71604000 its reverse (40617), we get a palindrome (71644617).

The spelling of 71604000 in words is "seventy-one million, six hundred four thousand".