71201100 has 144 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 17064960.

The previous prime is 71201093. The next prime is 71201107. The reversal of 71201100 is 110217.

It is an interprime number because it is at equal distance from previous prime (71201093) and next prime (71201107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71201107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116997 + ... + 117603.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^71201100 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 71201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704).

71201100 is an abundant number, since it is smaller than the sum of its proper divisors (156784308).

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

71201100 is a wasteful number, since it uses less digits than its factorization.

71201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 71201100 is about 8438.0744248910. The cubic root of 71201100 is about 414.4723540449.

Adding to 71201100 its reverse (110217), we get a palindrome (71311317).

The spelling of 71201100 in words is "seventy-one million, two hundred one thousand, one hundred".