71013600 has 216 divisors, whose sum is σ = 286387920. Its totient is φ = 16220160.

The previous prime is 71013541. The next prime is 71013611. The reversal of 71013600 is 631017.

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

It is a congruent number.

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, 49696 + ... + 51104.

It is an arithmetic number, because the mean of its divisors is an integer number (1325870).

Almost surely, 2^71013600 is an apocalyptic number.

71013600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193960).

71013600 is an abundant number, since it is smaller than the sum of its proper divisors (215374320).

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

71013600 is a wasteful number, since it uses less digits than its factorization.

71013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 71013600 is about 8426.9567460620. The cubic root of 71013600 is about 414.1082122785.

Adding to 71013600 its reverse (631017), we get a palindrome (71644617).

It can be divided in two parts, 7101 and 3600, that added together give a palindrome (10701).

The spelling of 71013600 in words is "seventy-one million, thirteen thousand, six hundred".