71806500 has 168 divisors, whose sum is σ = 236324088. Its totient is φ = 19051200.

The previous prime is 71806429. The next prime is 71806507. The reversal of 71806500 is 560817.

71806500 is a `hidden beast` number, since 7 + 1 + 8 + 0 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 70963776 = 918^2 + 8424^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71806507) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 364402 + ... + 364598.

It is an arithmetic number, because the mean of its divisors is an integer number (1406691).

Almost surely, 2^71806500 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 71806500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118162044).

71806500 is an abundant number, since it is smaller than the sum of its proper divisors (164517588).

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

71806500 is a wasteful number, since it uses less digits than its factorization.

71806500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71806500 is about 8473.8716062966. The cubic root of 71806500 is about 415.6437485654.

The spelling of 71806500 in words is "seventy-one million, eight hundred six thousand, five hundred".