73415252250 has 192 divisors, whose sum is σ = 210683566080. Its totient is φ = 18382732800.

The previous prime is 73415252249. The next prime is 73415252297. The reversal of 73415252250 is 5225251437.

73415252250 is a `hidden beast` number, since 7 + 34 + 1 + 52 + 522 + 50 = 666.

It is a super-2 number, since 2×73415252250² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18319747 + ... + 18323753.

It is an arithmetic number, because the mean of its divisors is an integer number (1097310240).

Almost surely, 2^73415252250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73415252250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105341783040).

73415252250 is an abundant number, since it is smaller than the sum of its proper divisors (137268313830).

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

73415252250 is a wasteful number, since it uses less digits than its factorization.

73415252250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 73415252250 in words is "seventy-three billion, four hundred fifteen million, two hundred fifty-two thousand, two hundred fifty".