71825299200 has 324 divisors, whose sum is σ = 271900753488. Its totient is φ = 18026496000.

The previous prime is 71825299177. The next prime is 71825299213. The reversal of 71825299200 is 299252817.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 942525 + ... + 1015875.

Almost surely, 2^71825299200 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 71825299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135950376744).

71825299200 is an abundant number, since it is smaller than the sum of its proper divisors (200075454288).

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

71825299200 is a wasteful number, since it uses less digits than its factorization.

71825299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73400 (or 73378 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71825299200 in words is "seventy-one billion, eight hundred twenty-five million, two hundred ninety-nine thousand, two hundred".