71722196100 has 243 divisors, whose sum is σ = 229723742703. Its totient is φ = 18716705280.

The previous prime is 71722196089. The next prime is 71722196111. The reversal of 71722196100 is 169122717.

It is a happy number.

The square root of 71722196100 is 267810.

It is a perfect power (a square), and thus also a powerful number.

71722196100 is a `hidden beast` number, since 7 + 1 + 7 + 22 + 19 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71722196089) and next prime (71722196111).

It can be written as a sum of positive squares in 4 ways, for example, as 36489404484 + 35232791616 = 191022^2 + 187704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 634709644 + ... + 634709756.

Almost surely, 2^71722196100 is an apocalyptic number.

71722196100 is the 267810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71722196100

71722196100 is an abundant number, since it is smaller than the sum of its proper divisors (158001546603).

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

71722196100 is a wasteful number, since it uses less digits than its factorization.

71722196100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Multiplying 71722196100 by its sum of digits (36), we get a square (2581999059600 = 1606860²).

71722196100 divided by its sum of digits (36) gives a square (1992283225 = 44635²).

The spelling of 71722196100 in words is "seventy-one billion, seven hundred twenty-two million, one hundred ninety-six thousand, one hundred".