73010201616 has 405 divisors, whose sum is σ = 237448018717. Its totient is φ = 20924597760.

The previous prime is 73010201581. The next prime is 73010201617. The reversal of 73010201616 is 61610201037.

The square root of 73010201616 is 270204.

It is a perfect power (a square), and thus also a powerful number.

73010201616 is a `hidden beast` number, since 7 + 30 + 10 + 2 + 0 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14019507216 + 58990694400 = 118404^2 + 242880^2 .

It is a super-2 number, since 2×73010201616² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73010201616.

It is not an unprimeable number, because it can be changed into a prime (73010201617) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 820339300 + ... + 820339388.

Almost surely, 2^73010201616 is an apocalyptic number.

73010201616 is the 270204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73010201616

73010201616 is an abundant number, since it is smaller than the sum of its proper divisors (164437817101).

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

73010201616 is a wasteful number, since it uses less digits than its factorization.

73010201616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 73010201616 in words is "seventy-three billion, ten million, two hundred one thousand, six hundred sixteen".