71641600 has 120 divisors (see below), whose sum is σ = 184569660. Its totient is φ = 27525120.

The previous prime is 71641579. The next prime is 71641601. The reversal of 71641600 is 614617.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17707264 + 53934336 = 4208^2 + 7344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (71641601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371104 + ... + 371296.

Almost surely, 2^71641600 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 71641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92284830).

71641600 is an abundant number, since it is smaller than the sum of its proper divisors (112928060).

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

71641600 is a wasteful number, since it uses less digits than its factorization.

71641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 71641600 is about 8464.1361047658. The cubic root of 71641600 is about 415.3253364108.

The spelling of 71641600 in words is "seventy-one million, six hundred forty-one thousand, six hundred".