71712100 has 36 divisors (see below), whose sum is σ = 157240804. Its totient is φ = 28385280.

The previous prime is 71712097. The next prime is 71712101. The reversal of 71712100 is 121717.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 63138916 = 2928^2 + 7946^2 .

It is not an unprimeable number, because it can be changed into a prime (71712101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004 + ... + 13396.

Almost surely, 2^71712100 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 71712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78620402).

71712100 is an abundant number, since it is smaller than the sum of its proper divisors (85528704).

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

71712100 is a wasteful number, since it uses less digits than its factorization.

71712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 71712100 is about 8468.2997112762. The cubic root of 71712100 is about 415.4615274732.

Adding to 71712100 its reverse (121717), we get a palindrome (71833817).

The spelling of 71712100 in words is "seventy-one million, seven hundred twelve thousand, one hundred".