71241600 has 192 divisors, whose sum is σ = 241703280. Its totient is φ = 18432000.

The previous prime is 71241589. The next prime is 71241619. The reversal of 71241600 is 614217.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393510 + ... + 393690.

Almost surely, 2^71241600 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 71241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

71241600 is an abundant number, since it is smaller than the sum of its proper divisors (170461680).

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

71241600 is a wasteful number, since it uses less digits than its factorization.

71241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71241600 is about 8440.4739203436. The cubic root of 71241600 is about 414.5509246879.

Adding to 71241600 its reverse (614217), we get a palindrome (71855817).

The spelling of 71241600 in words is "seventy-one million, two hundred forty-one thousand, six hundred".