73617603012 has 72 divisors (see below), whose sum is σ = 197127095256. Its totient is φ = 23084964864.

The previous prime is 73617603001. The next prime is 73617603019. The reversal of 73617603012 is 21030671637.

73617603012 is a `hidden beast` number, since 7 + 3 + 617 + 6 + 0 + 30 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37735393536 + 35882209476 = 194256^2 + 189426^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73617603019) 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 23 ways as a sum of consecutive naturals, for example, 1342158 + ... + 1395930.

It is an arithmetic number, because the mean of its divisors is an integer number (2737876323).

Almost surely, 2^73617603012 is an apocalyptic number.

It is an amenable number.

73617603012 is an abundant number, since it is smaller than the sum of its proper divisors (123509492244).

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

73617603012 is a wasteful number, since it uses less digits than its factorization.

73617603012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56037 (or 56032 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

It can be divided in two parts, 73 and 617603012, that added together give a triangular number (617603085 = T₃₅₁₄₅).

The spelling of 73617603012 in words is "seventy-three billion, six hundred seventeen million, six hundred three thousand, twelve".