73197527040 has 672 divisors, whose sum is σ = 286574057280. Its totient is φ = 17712414720.

The previous prime is 73197527033. The next prime is 73197527129. The reversal of 73197527040 is 4072579137.

73197527040 is a `hidden beast` number, since 7 + 31 + 97 + 527 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 133816047 + ... + 133816593.

It is an arithmetic number, because the mean of its divisors is an integer number (426449490).

Almost surely, 2^73197527040 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 73197527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143287028640).

73197527040 is an abundant number, since it is smaller than the sum of its proper divisors (213376530240).

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

73197527040 is a wasteful number, since it uses less digits than its factorization.

73197527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 73197527040 in words is "seventy-three billion, one hundred ninety-seven million, five hundred twenty-seven thousand, forty".