71768200 has 48 divisors (see below), whose sum is σ = 190702080. Its totient is φ = 24605760.

The previous prime is 71768171. The next prime is 71768209. The reversal of 71768200 is 286717.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71768209) 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, 24232 + ... + 27031.

It is an arithmetic number, because the mean of its divisors is an integer number (3972960).

Almost surely, 2^71768200 is an apocalyptic number.

71768200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71768200 is an abundant number, since it is smaller than the sum of its proper divisors (118933880).

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

71768200 is a wasteful number, since it uses less digits than its factorization.

71768200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51286 (or 51277 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 71768200 is about 8471.6114169619. The cubic root of 71768200 is about 415.5698370266.

It can be divided in two parts, 7176 and 8200, that added together give a square (15376 = 124²).

The spelling of 71768200 in words is "seventy-one million, seven hundred sixty-eight thousand, two hundred".