71823283200 has 660 divisors, whose sum is σ = 280104274560. Its totient is φ = 18134876160.

The previous prime is 71823283123. The next prime is 71823283241. The reversal of 71823283200 is 238232817.

It is a happy number.

71823283200 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 328 + 320 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39397489 + ... + 39399311.

It is an arithmetic number, because the mean of its divisors is an integer number (424400416).

Almost surely, 2^71823283200 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 71823283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140052137280).

71823283200 is an abundant number, since it is smaller than the sum of its proper divisors (208280991360).

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

71823283200 is a wasteful number, since it uses less digits than its factorization.

71823283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 71823283200 in words is "seventy-one billion, eight hundred twenty-three million, two hundred eighty-three thousand, two hundred".