73561131072 has 1008 divisors, whose sum is σ = 269936016896. Its totient is φ = 19707494400.

The previous prime is 73561131037. The next prime is 73561131073. The reversal of 73561131072 is 27013116537.

73561131072 is a `hidden beast` number, since 7 + 3 + 5 + 611 + 31 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×73561131072² (a number of 23 digits) contains 22 as substring.

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 (73561131073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758362128 + ... + 758362224.

Almost surely, 2^73561131072 is an apocalyptic number.

73561131072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73561131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134968008448).

73561131072 is an abundant number, since it is smaller than the sum of its proper divisors (196374885824).

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

73561131072 is a wasteful number, since it uses less digits than its factorization.

73561131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 73561131072 in words is "seventy-three billion, five hundred sixty-one million, one hundred thirty-one thousand, seventy-two".