73227427416 has 384 divisors, whose sum is σ = 251533900800. Its totient is φ = 18915240960.

The previous prime is 73227427379. The next prime is 73227427417. The reversal of 73227427416 is 61472472237.

73227427416 is a `hidden beast` number, since 7 + 3 + 227 + 4 + 2 + 7 + 416 = 666.

It is a super-2 number, since 2×73227427416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73227427417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6862101 + ... + 6872763.

It is an arithmetic number, because the mean of its divisors is an integer number (655036200).

Almost surely, 2^73227427416 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 73227427416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125766950400).

73227427416 is an abundant number, since it is smaller than the sum of its proper divisors (178306473384).

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

73227427416 is a wasteful number, since it uses less digits than its factorization.

73227427416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10744 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 73227427416 in words is "seventy-three billion, two hundred twenty-seven million, four hundred twenty-seven thousand, four hundred sixteen".